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385658080 = 2554435441
BaseRepresentation
bin10110111111001…
…010110011100000
3222212200110102121
4112333022303200
51242212024310
6102133554024
712362016403
oct2677126340
9885613377
10385658080
1118876a695
12a91a5914
1361b8c662
143930dd3a
1523cce0da
hex16fcace0

385658080 has 48 divisors (see below), whose sum is σ = 913341744. Its totient is φ = 153886720.

The previous prime is 385658071. The next prime is 385658083. The reversal of 385658080 is 80856583.

385658080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385658083) 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, 68160 + ... + 73600.

It is an arithmetic number, because the mean of its divisors is an integer number (19027953).

Almost surely, 2385658080 is an apocalyptic number.

It is an amenable number.

385658080 is an abundant number, since it is smaller than the sum of its proper divisors (527683664).

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

385658080 is a wasteful number, since it uses less digits than its factorization.

385658080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 385658080 is about 19638.1791416618. The cubic root of 385658080 is about 727.8928917011.

The spelling of 385658080 in words is "three hundred eighty-five million, six hundred fifty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 443 886 1772 2215 3544 4430 5441 7088 8860 10882 14176 17720 21764 27205 35440 43528 54410 70880 87056 108820 174112 217640 435280 870560 2410363 4820726 9641452 12051815 19282904 24103630 38565808 48207260 77131616 96414520 192829040 385658080