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34278014496 = 2531122950931
BaseRepresentation
bin11111111011001000…
…001111111000100000
310021110220010120000110
4133323020033320200
51030200132430441
623425212451320
72322304213215
oct377310177040
9107426116013
1034278014496
11135a0055700
126787779b40
13330378751b
14193268bb0c
15d594b8b16
hex7fb20fe20

34278014496 has 72 divisors (see below), whose sum is σ = 98903436912. Its totient is φ = 10387273600.

The previous prime is 34278014489. The next prime is 34278014581. The reversal of 34278014496 is 69441087243.

It is a super-2 number, since 2×342780144962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1463850 + ... + 1487081.

It is an arithmetic number, because the mean of its divisors is an integer number (1373658846).

Almost surely, 234278014496 is an apocalyptic number.

It is an amenable number.

34278014496 is an abundant number, since it is smaller than the sum of its proper divisors (64625422416).

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

34278014496 is a wasteful number, since it uses less digits than its factorization.

34278014496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950966 (or 2950947 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 34278014496 in words is "thirty-four billion, two hundred seventy-eight million, fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 2950931 5901862 8852793 11803724 17705586 23607448 32460241 35411172 47214896 64920482 70822344 94429792 97380723 129840964 141644688 194761446 259681928 283289376 357062651 389522892 519363856 714125302 779045784 1038727712 1071187953 1428250604 1558091568 2142375906 2856501208 3116183136 4284751812 5713002416 8569503624 11426004832 17139007248 34278014496