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382574664 = 23341734729
BaseRepresentation
bin10110110011011…
…010000001001000
3222122212210210000
4112303122001020
51240414342124
6101543523000
712323555013
oct2663320110
9878783700
10382574664
11186a5400a
12a8159460
1361350054
1438b4a37a
15238c06c9
hex16cda048

382574664 has 80 divisors (see below), whose sum is σ = 1134629100. Its totient is φ = 120019968.

The previous prime is 382574653. The next prime is 382574707. The reversal of 382574664 is 466475283.

It can be written as a sum of positive squares in 2 ways, for example, as 370254564 + 12320100 = 19242^2 + 3510^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6349 + ... + 28380.

Almost surely, 2382574664 is an apocalyptic number.

382574664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

382574664 is an abundant number, since it is smaller than the sum of its proper divisors (752054436).

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

382574664 is a wasteful number, since it uses less digits than its factorization.

382574664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34764 (or 34751 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 382574664 is about 19559.5159449307. The cubic root of 382574664 is about 725.9478140209.

The spelling of 382574664 in words is "three hundred eighty-two million, five hundred seventy-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 34729 69458 104187 138916 208374 277832 312561 416748 590393 625122 833496 937683 1180786 1250244 1771179 1875366 2361572 2500488 2813049 3542358 3750732 4723144 5313537 5626098 7084716 7501464 10627074 11252196 14169432 15940611 21254148 22504392 31881222 42508296 47821833 63762444 95643666 127524888 191287332 382574664