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387674640 = 24335179479
BaseRepresentation
bin10111000110110…
…111001000010000
31000000110220122000
4113012313020100
51243221042030
6102245114000
712415115523
oct2706671020
91000426560
10387674640
11189917771
12a99b8900
13624174a2
14396b6bba
152407b860
hex171b7210

387674640 has 80 divisors (see below), whose sum is σ = 1335331200. Its totient is φ = 103379328.

The previous prime is 387674633. The next prime is 387674671. The reversal of 387674640 is 46476783.

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 (45).

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, 87580 + ... + 91899.

It is an arithmetic number, because the mean of its divisors is an integer number (16691640).

Almost surely, 2387674640 is an apocalyptic number.

387674640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387674640 is an abundant number, since it is smaller than the sum of its proper divisors (947656560).

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

387674640 is a wasteful number, since it uses less digits than its factorization.

387674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179501 (or 179489 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 387674640 is about 19689.4550457853. The cubic root of 387674640 is about 729.1593751362.

The spelling of 387674640 in words is "three hundred eighty-seven million, six hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 179479 358958 538437 717916 897395 1076874 1435832 1615311 1794790 2153748 2692185 2871664 3230622 3589580 4307496 4845933 5384370 6461244 7179160 8076555 8614992 9691866 10768740 12922488 14358320 16153110 19383732 21537480 24229665 25844976 32306220 38767464 43074960 48459330 64612440 77534928 96918660 129224880 193837320 387674640