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3434955372 = 22323112832399
BaseRepresentation
bin1100110010111101…
…0100001001101100
322212101110210221100
43030233110021230
524013322032442
61324503003100
7151056432102
oct31457241154
98771423840
103434955372
111502a408a2
127ba439490
13429844494
142482a9c72
1515185e84c
hexccbd426c

3434955372 has 72 divisors (see below), whose sum is σ = 8973619200. Its totient is φ = 1106724960.

The previous prime is 3434955353. The next prime is 3434955389. The reversal of 3434955372 is 2735594343.

3434955372 is a `hidden beast` number, since 3 + 43 + 495 + 53 + 72 = 666.

3434955372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430629 + ... + 1433027.

It is an arithmetic number, because the mean of its divisors is an integer number (124633600).

Almost surely, 23434955372 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 3434955372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486809600).

3434955372 is an abundant number, since it is smaller than the sum of its proper divisors (5538663828).

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

3434955372 is a wasteful number, since it uses less digits than its factorization.

3434955372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3718 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The square root of 3434955372 is about 58608.4923197995. The cubic root of 3434955372 is about 1508.8301937836.

The spelling of 3434955372 in words is "three billion, four hundred thirty-four million, nine hundred fifty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1283 2399 2566 3849 4798 5132 7197 7698 9596 11547 14394 15396 21591 23094 28788 39773 43182 46188 74369 79546 86364 119319 148738 159092 223107 238638 297476 357957 446214 477276 669321 715914 892428 1338642 1431828 2677284 3077917 6155834 9233751 12311668 18467502 27701253 36935004 55402506 95415427 110805012 190830854 286246281 381661708 572492562 858738843 1144985124 1717477686 3434955372