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387012816 = 2434298621
BaseRepresentation
bin10111000100010…
…101100011010000
3222222020021210000
4113010111203100
51243033402231
6102223010000
712406361151
oct2704254320
9888207700
10387012816
11189505503
12a9739900
1362245188
1439583928
1523e9a6e6
hex171158d0

387012816 has 50 divisors (see below), whose sum is σ = 1120131122. Its totient is φ = 129003840.

The previous prime is 387012799. The next prime is 387012833. The reversal of 387012816 is 618210783.

It is an interprime number because it is at equal distance from previous prime (387012799) and next prime (387012833).

It can be written as a sum of positive squares in only one way, i.e., 376515216 + 10497600 = 19404^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 148015 + ... + 150606.

Almost surely, 2387012816 is an apocalyptic number.

387012816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

387012816 is an abundant number, since it is smaller than the sum of its proper divisors (733118306).

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

387012816 is a wasteful number, since it uses less digits than its factorization.

387012816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298641 (or 298626 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 387012816 is about 19672.6413071555. The cubic root of 387012816 is about 728.7442073668.

The spelling of 387012816 in words is "three hundred eighty-seven million, twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 298621 597242 895863 1194484 1791726 2388968 2687589 3583452 4777936 5375178 7166904 8062767 10750356 14333808 16125534 21500712 24188301 32251068 43001424 48376602 64502136 96753204 129004272 193506408 387012816