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674040096 = 25336911129
BaseRepresentation
bin101000001011010…
…000100100100000
31201222022210012000
4220023100210200
52340023240341
6150515004000
722463150322
oct5013204440
91658283160
10674040096
11316529334
12169899600
13a98502c2
146573b612
153e2958b6
hex282d0920

674040096 has 96 divisors (see below), whose sum is σ = 1970539200. Its totient is φ = 224156160.

The previous prime is 674040083. The next prime is 674040119. The reversal of 674040096 is 690040476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×6740400964 (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 674040096.

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, 596460 + ... + 597588.

It is an arithmetic number, because the mean of its divisors is an integer number (20526450).

Almost surely, 2674040096 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 674040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985269600).

674040096 is an abundant number, since it is smaller than the sum of its proper divisors (1296499104).

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

674040096 is a wasteful number, since it uses less digits than its factorization.

674040096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 674040096 is about 25962.2821801166. The cubic root of 674040096 is about 876.7893054843.

The spelling of 674040096 in words is "six hundred seventy-four million, forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 691 864 1129 1382 2073 2258 2764 3387 4146 4516 5528 6219 6774 8292 9032 10161 11056 12438 13548 16584 18064 18657 20322 22112 24876 27096 30483 33168 36128 37314 40644 49752 54192 60966 66336 74628 81288 99504 108384 121932 149256 162576 199008 243864 298512 325152 487728 597024 780139 975456 1560278 2340417 3120556 4680834 6241112 7021251 9361668 12482224 14042502 18723336 21063753 24964448 28085004 37446672 42127506 56170008 74893344 84255012 112340016 168510024 224680032 337020048 674040096