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674519440 = 245710711257
BaseRepresentation
bin101000001101000…
…101100110010000
31202000020010201111
4220031011212100
52340134110230
6150533143104
722500214660
oct5015054620
91660203644
10674519440
11316826491
12169a8aa94
13a998a53a
14658241a0
153e33c92a
hex28345990

674519440 has 80 divisors (see below), whose sum is σ = 1809205632. Its totient is φ = 229082112.

The previous prime is 674519429. The next prime is 674519471. The reversal of 674519440 is 44915476.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 674519393 and 674519402.

It is an unprimeable number.

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, 54292 + ... + 65548.

Almost surely, 2674519440 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 674519440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904602816).

674519440 is an abundant number, since it is smaller than the sum of its proper divisors (1134686192).

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

674519440 is a wasteful number, since it uses less digits than its factorization.

674519440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 674519440 is about 25971.5120853600. The cubic root of 674519440 is about 876.9970993066.

The spelling of 674519440 in words is "six hundred seventy-four million, five hundred nineteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 1070 1498 1712 2140 2996 3745 4280 5992 7490 8560 11257 11984 14980 22514 29960 45028 56285 59920 78799 90056 112570 157598 180112 225140 315196 393995 450280 630392 787990 900560 1204499 1260784 1575980 2408998 3151960 4817996 6022495 6303920 8431493 9635992 12044990 16862986 19271984 24089980 33725972 42157465 48179960 67451944 84314930 96359920 134903888 168629860 337259720 674519440