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387631680 = 2635403783
BaseRepresentation
bin10111000110101…
…100101001000000
31000000101201200220
4113012230221000
51243213203210
6102244143040
712414546342
oct2706545100
91000351626
10387631680
11189898467
12a9997a80
1362400a77
14396a5292
152406dc70
hex171aca40

387631680 has 56 divisors (see below), whose sum is σ = 1230733632. Its totient is φ = 103368192.

The previous prime is 387631667. The next prime is 387631681. The reversal of 387631680 is 86136783.

It is not an unprimeable number, because it can be changed into a prime (387631681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200932 + ... + 202851.

Almost surely, 2387631680 is an apocalyptic number.

387631680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387631680 is an abundant number, since it is smaller than the sum of its proper divisors (843101952).

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

387631680 is a wasteful number, since it uses less digits than its factorization.

387631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403803 (or 403793 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 387631680 is about 19688.3640762761. The cubic root of 387631680 is about 729.1324403127.

The spelling of 387631680 in words is "three hundred eighty-seven million, six hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 403783 807566 1211349 1615132 2018915 2422698 3230264 4037830 4845396 6056745 6460528 8075660 9690792 12113490 12921056 16151320 19381584 24226980 25842112 32302640 38763168 48453960 64605280 77526336 96907920 129210560 193815840 387631680