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387317088 = 25321678053
BaseRepresentation
bin10111000101011…
…111110101100000
3222222210202011100
4113011133311200
51243123121323
6102233314400
712412066224
oct2705376540
9888722140
10387317088
111896a3074
12a9865a00
1362320812
1439622784
152400a943
hex1715fd60

387317088 has 72 divisors (see below), whose sum is σ = 1108165968. Its totient is φ = 128316672.

The previous prime is 387317081. The next prime is 387317101. The reversal of 387317088 is 880713783.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387317081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44070 + ... + 52122.

It is an arithmetic number, because the mean of its divisors is an integer number (15391194).

Almost surely, 2387317088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387317088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554082984).

387317088 is an abundant number, since it is smaller than the sum of its proper divisors (720848880).

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

387317088 is a wasteful number, since it uses less digits than its factorization.

387317088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 387317088 is about 19680.3731671938. The cubic root of 387317088 is about 728.9351384880.

The spelling of 387317088 in words is "three hundred eighty-seven million, three hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 8053 12024 16032 16106 24048 24159 32212 48096 48318 64424 72477 96636 128848 144954 193272 257696 289908 386544 579816 773088 1159632 1344851 2319264 2689702 4034553 5379404 8069106 10758808 12103659 16138212 21517616 24207318 32276424 43035232 48414636 64552848 96829272 129105696 193658544 387317088