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385692328 = 237217311867
BaseRepresentation
bin10110111111010…
…011001010101000
3222212202012102001
4112333103022220
51242214123303
6102134420344
712362221300
oct2677231250
9885665361
10385692328
1118879339a
12a92016b4
1361ba2118
143931c600
1523cd931d
hex16fd32a8

385692328 has 96 divisors (see below), whose sum is σ = 919952640. Its totient is φ = 150474240.

The previous prime is 385692319. The next prime is 385692331. The reversal of 385692328 is 823296583.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205651 + ... + 207517.

It is an arithmetic number, because the mean of its divisors is an integer number (9582840).

Almost surely, 2385692328 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 385692328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459976320).

385692328 is an abundant number, since it is smaller than the sum of its proper divisors (534260312).

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

385692328 is a wasteful number, since it uses less digits than its factorization.

385692328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1924 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 385692328 is about 19639.0510972399. The cubic root of 385692328 is about 727.9144376760.

The spelling of 385692328 in words is "three hundred eighty-five million, six hundred ninety-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 49 56 62 68 98 119 124 136 196 217 238 248 392 434 476 527 833 868 952 1054 1519 1666 1736 1867 2108 3038 3332 3689 3734 4216 6076 6664 7378 7468 12152 13069 14756 14936 25823 26138 29512 31739 51646 52276 57877 63478 91483 103292 104552 115754 126956 182966 206584 222173 231508 253912 365932 405139 444346 463016 731864 810278 888692 983909 1555211 1620556 1777384 1967818 2835973 3110422 3241112 3935636 5671946 6220844 6887363 7871272 11343892 12441688 13774726 22687784 27549452 48211541 55098904 96423082 192846164 385692328