Search a number
-
+
1434688848 = 24342348131
BaseRepresentation
bin101010110000011…
…1001110101010000
310200222121202010000
41111200321311100
510414240020343
6354210210000
750360440215
oct12540716520
93628552100
101434688848
11676931a6a
12340583900
1319b305a18
14d8781b0c
1585e47ed3
hex55839d50

1434688848 has 100 divisors (see below), whose sum is σ = 4333035168. Its totient is φ = 457427520.

The previous prime is 1434688831. The next prime is 1434688859. The reversal of 1434688848 is 8488864341.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1434688794 and 1434688803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5743 + ... + 53873.

Almost surely, 21434688848 is an apocalyptic number.

1434688848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434688848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166517584).

1434688848 is an abundant number, since it is smaller than the sum of its proper divisors (2898346320).

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

1434688848 is a wasteful number, since it uses less digits than its factorization.

1434688848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48174 (or 48159 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 1434688848 is about 37877.2867032474. The cubic root of 1434688848 is about 1127.8531950187.

The spelling of 1434688848 in words is "one billion, four hundred thirty-four million, six hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 48131 96262 144393 192524 288786 385048 433179 577572 770096 866358 1107013 1155144 1299537 1732716 2214026 2310288 2599074 3321039 3465432 3898611 4428052 5198148 6642078 6930864 7797222 8856104 9963117 10396296 13284156 15594444 17712208 19926234 20792592 26568312 29889351 31188888 39852468 53136624 59778702 62377776 79704936 89668053 119557404 159409872 179336106 239114808 358672212 478229616 717344424 1434688848