Search a number
-
+
34955484680 = 23531109258623
BaseRepresentation
bin100000100011100000…
…100101111000001000
310100020002220121101202
4200203200211320020
51033042101002210
624020333203332
72345141501024
oct404340457010
9110202817352
1034955484680
1113908507016
126936630548
1333b0c38b5c
14199863d384
15d98bda9a5
hex823825e08

34955484680 has 64 divisors (see below), whose sum is σ = 81932083200. Its totient is φ = 13406964480.

The previous prime is 34955484679. The next prime is 34955484701. The reversal of 34955484680 is 8648455943.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5849 + ... + 264471.

It is an arithmetic number, because the mean of its divisors is an integer number (1280188800).

Almost surely, 234955484680 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 34955484680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40966041600).

34955484680 is an abundant number, since it is smaller than the sum of its proper divisors (46976598520).

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

34955484680 is a wasteful number, since it uses less digits than its factorization.

34955484680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258774 (or 258770 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 56.

The spelling of 34955484680 in words is "thirty-four billion, nine hundred fifty-five million, four hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 109 124 155 218 248 310 436 545 620 872 1090 1240 2180 3379 4360 6758 13516 16895 27032 33790 67580 135160 258623 517246 1034492 1293115 2068984 2586230 5172460 8017313 10344920 16034626 28189907 32069252 40086565 56379814 64138504 80173130 112759628 140949535 160346260 225519256 281899070 320692520 563798140 873887117 1127596280 1747774234 3495548468 4369435585 6991096936 8738871170 17477742340 34955484680