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674942016 = 26371926431
BaseRepresentation
bin101000001110101…
…100110001000000
31202001000121101110
4220032230301000
52340241121031
6150550203320
722503624660
oct5016546100
91661017343
10674942016
11316a94a21
1216a053540
13a9aa7998
14658d41a0
153e3c2c46
hex283acc40

674942016 has 112 divisors (see below), whose sum is σ = 2148392960. Its totient is φ = 182684160.

The previous prime is 674942011. The next prime is 674942017. The reversal of 674942016 is 610249476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (674942011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12321 + ... + 38751.

It is an arithmetic number, because the mean of its divisors is an integer number (19182080).

Almost surely, 2674942016 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 674942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074196480).

674942016 is an abundant number, since it is smaller than the sum of its proper divisors (1473450944).

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

674942016 is a wasteful number, since it uses less digits than its factorization.

674942016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26472 (or 26462 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 674942016 is about 25979.6461869672. The cubic root of 674942016 is about 877.1802027824.

The spelling of 674942016 in words is "six hundred seventy-four million, nine hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 26431 52862 79293 105724 158586 185017 211448 317172 370034 422896 502189 555051 634344 740068 845792 1004378 1110102 1268688 1480136 1506567 1691584 2008756 2220204 2537376 2960272 3013134 3515323 4017512 4440408 5074752 5920544 6026268 7030646 8035024 8880816 10545969 11841088 12052536 14061292 16070048 17761632 21091938 24105072 28122584 32140096 35523264 42183876 48210144 56245168 84367752 96420288 112490336 168735504 224980672 337471008 674942016