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34934796 = 223213174391
BaseRepresentation
bin1000010101000…
…1000000001100
32102201212112100
42011101000030
532420403141
63244435100
7602640501
oct205210014
972655470
1034934796
11187a1036
12b848a90
1373121a0
1448d54a8
1531010b6
hex215100c

34934796 has 72 divisors (see below), whose sum is σ = 100717344. Its totient is φ = 10114560.

The previous prime is 34934777. The next prime is 34934839. The reversal of 34934796 is 69743943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5761 + ... + 10151.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 234934796 is an apocalyptic number.

34934796 is a gapful number since it is divisible by the number (36) 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 34934796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50358672).

34934796 is an abundant number, since it is smaller than the sum of its proper divisors (65782548).

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

34934796 is a wasteful number, since it uses less digits than its factorization.

34934796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4426 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 34934796 is about 5910.5664703140. The cubic root of 34934796 is about 326.9033746437.

The spelling of 34934796 in words is "thirty-four million, nine hundred thirty-four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 4391 7956 8782 13173 17564 26346 39519 52692 57083 74647 79038 114166 149294 158076 171249 223941 228332 298588 342498 447882 513747 671823 684996 895764 970411 1027494 1343646 1940822 2054988 2687292 2911233 3881644 5822466 8733699 11644932 17467398 34934796