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34542912 = 2631719557
BaseRepresentation
bin1000001111000…
…1010101000000
32101222221222010
42003301111000
532320333122
63232212520
7566416125
oct203612500
971887863
1034542912
1118553668
12b69a140
1372059c1
14483274c
153074e0c
hex20f1540

34542912 has 112 divisors (see below), whose sum is σ = 102047040. Its totient is φ = 10248192.

The previous prime is 34542899. The next prime is 34542919. The reversal of 34542912 is 21924543.

It is a self number, because there is not a number n which added to its sum of digits gives 34542912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34542919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61738 + ... + 62294.

Almost surely, 234542912 is an apocalyptic number.

34542912 is a gapful number since it is divisible by the number (32) 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 34542912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51023520).

34542912 is an abundant number, since it is smaller than the sum of its proper divisors (67504128).

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

34542912 is a wasteful number, since it uses less digits than its factorization.

34542912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 34542912 is about 5877.3218390692. The cubic root of 34542912 is about 325.6764199924.

The spelling of 34542912 in words is "thirty-four million, five hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 304 323 408 456 544 557 608 646 816 912 969 1088 1114 1216 1292 1632 1671 1824 1938 2228 2584 3264 3342 3648 3876 4456 5168 6684 7752 8912 9469 10336 10583 13368 15504 17824 18938 20672 21166 26736 28407 31008 31749 35648 37876 42332 53472 56814 62016 63498 75752 84664 106944 113628 126996 151504 169328 179911 227256 253992 303008 338656 359822 454512 507984 539733 606016 677312 719644 909024 1015968 1079466 1439288 1818048 2031936 2158932 2878576 4317864 5757152 8635728 11514304 17271456 34542912