Search a number
-
+
354327173096 = 23131719103310211
BaseRepresentation
bin1010010011111111000…
…10111001011111101000
31020212120200002100221012
411021333202321133220
521301130224014341
6430435313003052
734412362164161
oct5117742713750
91225520070835
10354327173096
111272a64a7566
1258807553488
132754a213190
1413214430768
15933bda40eb
hex527f8b97e8

354327173096 has 128 divisors (see below), whose sum is σ = 798276124800. Its totient is φ = 145659617280.

The previous prime is 354327173069. The next prime is 354327173117. The reversal of 354327173096 is 690371723453.

It is a super-3 number, since 3×3543271730963 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34695431 + ... + 34705641.

It is an arithmetic number, because the mean of its divisors is an integer number (6236532225).

Almost surely, 2354327173096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354327173096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399138062400).

354327173096 is an abundant number, since it is smaller than the sum of its proper divisors (443948951704).

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

354327173096 is a wasteful number, since it uses less digits than its factorization.

354327173096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11299 (or 11295 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 50.

The spelling of 354327173096 in words is "three hundred fifty-four billion, three hundred twenty-seven million, one hundred seventy-three thousand, ninety-six".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1033 1292 1768 1976 2066 2584 4132 4199 8264 8398 10211 13429 16796 17561 19627 20422 26858 33592 35122 39254 40844 53716 70244 78508 81688 107432 132743 140488 157016 173587 194009 228293 255151 265486 333659 347174 388018 456586 510302 530972 667318 694348 776036 913172 1020604 1061944 1334636 1388696 1552072 1826344 2041208 2256631 2522117 2669272 3298153 4337567 4513262 5044234 6596306 8675134 9026524 10088468 10547963 13192612 17350268 18053048 20176936 21095926 26385224 34700536 42191852 42875989 84383704 85751978 137123519 171503956 179315371 200411297 274247038 343007912 358630742 400822594 548494076 717261484 801645188 1096988152 1434522968 1603290376 2331099823 2605346861 3406992049 4662199646 5210693722 6813984098 9324399292 10421387444 13627968196 18648798584 20842774888 27255936392 44290896637 88581793274 177163586548 354327173096