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385209328 = 24714092441
BaseRepresentation
bin10110111101011…
…101001111110000
3222211211122212011
4112331131033300
51242103144303
6102120212304
712355140160
oct2675351760
9884748764
10385209328
11188493519
12a900a094
1361a6331a
14392345a0
1523c4116d
hex16f5d3f0

385209328 has 40 divisors (see below), whose sum is σ = 853918560. Its totient is φ = 164904960.

The previous prime is 385209323. The next prime is 385209329. The reversal of 385209328 is 823902583.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385209323) 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, 156588 + ... + 159028.

It is an arithmetic number, because the mean of its divisors is an integer number (21347964).

Almost surely, 2385209328 is an apocalyptic number.

It is an amenable number.

385209328 is an abundant number, since it is smaller than the sum of its proper divisors (468709232).

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

385209328 is a wasteful number, since it uses less digits than its factorization.

385209328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 385209328 is about 19626.7503168507. The cubic root of 385209328 is about 727.6104565736.

The spelling of 385209328 in words is "three hundred eighty-five million, two hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 1409 2441 2818 4882 5636 9764 9863 11272 17087 19528 19726 22544 34174 39056 39452 68348 78904 136696 157808 273392 3439369 6878738 13757476 24075583 27514952 48151166 55029904 96302332 192604664 385209328