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1034606328336 = 243272121092
BaseRepresentation
bin11110000111000110101…
…01111011101000010000
310122220111111100001102100
433003203111323220100
5113422333210001321
62111142552120400
7134514336455400
oct17034325735020
93586444301370
101034606328336
11369857333649
1214861b696100
1376741a854b9
143810a558800
151bda4983326
hexf0e357ba10

1034606328336 has 135 divisors (see below), whose sum is σ = 3368467233261. Its totient is φ = 295577396352.

The previous prime is 1034606328271. The next prime is 1034606328337. The reversal of 1034606328336 is 6338236064301.

The square root of 1034606328336 is 1017156.

It is a perfect power (a square), and thus also a powerful number.

1034606328336 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 6 + 0 + 632 + 8 + 3 + 3 + 6 = 666.

1034606328336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1031532734736 + 3073593600 = 1015644^2 + 55440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1034606328291 and 1034606328300.

It is not an unprimeable number, because it can be changed into a prime (1034606328337) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85435050 + ... + 85447158.

Almost surely, 21034606328336 is an apocalyptic number.

1034606328336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1034606328336 is the 1017156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034606328336

1034606328336 is an abundant number, since it is smaller than the sum of its proper divisors (2333860904925).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1034606328336 is an frugal number, since it uses more digits than its factorization.

1034606328336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24246 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 1034606328336 in words is "one trillion, thirty-four billion, six hundred six million, three hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 12109 24218 36327 48436 72654 84763 96872 108981 145308 169526 193744 217962 254289 290616 339052 435924 508578 581232 593341 678104 762867 871848 1017156 1186682 1356208 1525734 1743696 1780023 2034312 2373364 3051468 3560046 4068624 4746728 5340069 6102936 7120092 9493456 10680138 12205872 14240184 21360276 28480368 42720552 85441104 146627881 293255762 439883643 586511524 879767286 1026395167 1173023048 1319650929 1759534572 2052790334 2346046096 2639301858 3079185501 3519069144 4105580668 5278603716 6158371002 7038138288 7184766169 8211161336 9237556503 10557207432 12316742004 14369532338 16422322672 18475113006 21114414864 21554298507 24633484008 28739064676 36950226012 43108597014 49266968016 57478129352 64662895521 73900452024 86217194028 114956258704 129325791042 147800904048 172434388056 258651582084 344868776112 517303164168 1034606328336