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674730440 = 23541411421
BaseRepresentation
bin101000001101111…
…001000111001000
31202000121212011022
4220031321013020
52340212333230
6150541452012
722502054066
oct5015710710
91660555138
10674730440
1131695aa6a
12169b71008
13a9a325a7
146587b036
153e3801e5
hex283791c8

674730440 has 32 divisors (see below), whose sum is σ = 1555175160. Its totient is φ = 263308800.

The previous prime is 674730403. The next prime is 674730457. The reversal of 674730440 is 44037476.

It can be written as a sum of positive squares in 4 ways, for example, as 194156356 + 480574084 = 13934^2 + 21922^2 .

It is a super-3 number, since 3×6747304403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 674730440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204071 + ... + 207350.

Almost surely, 2674730440 is an apocalyptic number.

It is an amenable number.

674730440 is an abundant number, since it is smaller than the sum of its proper divisors (880444720).

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

674730440 is a wasteful number, since it uses less digits than its factorization.

674730440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411473 (or 411469 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The square root of 674730440 is about 25975.5739108879. The cubic root of 674730440 is about 877.0885358095.

The spelling of 674730440 in words is "six hundred seventy-four million, seven hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 411421 822842 1645684 2057105 3291368 4114210 8228420 16456840 16868261 33736522 67473044 84341305 134946088 168682610 337365220 674730440