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674654640 = 243511255551
BaseRepresentation
bin101000001101100…
…110100110110000
31202000111000011220
4220031212212300
52340202422030
6150540105040
722501320102
oct5015464660
91660430156
10674654640
11316909020
12169b35180
13a9a06c3a
146585b572
153e367a10
hex283669b0

674654640 has 80 divisors (see below), whose sum is σ = 2281568256. Its totient is φ = 163552000.

The previous prime is 674654609. The next prime is 674654663. The reversal of 674654640 is 46456476.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 674654592 and 674654601.

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 15 ways as a sum of consecutive naturals, for example, 125136 + ... + 130415.

Almost surely, 2674654640 is an apocalyptic number.

674654640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

674654640 is an abundant number, since it is smaller than the sum of its proper divisors (1606913616).

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

674654640 is a wasteful number, since it uses less digits than its factorization.

674654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255578 (or 255572 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 674654640 is about 25974.1148068611. The cubic root of 674654640 is about 877.0556901985.

The spelling of 674654640 in words is "six hundred seventy-four million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 255551 511102 766653 1022204 1277755 1533306 2044408 2555510 2811061 3066612 3833265 4088816 5111020 5622122 6133224 7666530 8433183 10222040 11244244 12266448 14055305 15333060 16866366 20444080 22488488 28110610 30666120 33732732 42165915 44976976 56221220 61332240 67465464 84331830 112442440 134930928 168663660 224884880 337327320 674654640