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385629960 = 233523139721
BaseRepresentation
bin10110111111000…
…011111100001000
3222212122000212010
4112333003330020
51242210124320
6102133215520
712361541412
oct2677037410
9885560763
10385629960
11188750551
12a91915a0
1361b7c911
14393039b2
1523cc5ae0
hex16fc3f08

385629960 has 64 divisors (see below), whose sum is σ = 1207198080. Its totient is φ = 98362880.

The previous prime is 385629949. The next prime is 385629973. The reversal of 385629960 is 69926583.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67101 + ... + 72620.

It is an arithmetic number, because the mean of its divisors is an integer number (18862470).

Almost surely, 2385629960 is an apocalyptic number.

385629960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385629960 is an abundant number, since it is smaller than the sum of its proper divisors (821568120).

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

385629960 is a wasteful number, since it uses less digits than its factorization.

385629960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139758 (or 139754 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 385629960 is about 19637.4631762863. The cubic root of 385629960 is about 727.8751999973.

The spelling of 385629960 in words is "three hundred eighty-five million, six hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 139721 279442 419163 558884 698605 838326 1117768 1397210 1676652 2095815 2794420 3213583 3353304 4191630 5588840 6427166 8383260 9640749 12854332 16067915 16766520 19281498 25708664 32135830 38562996 48203745 64271660 77125992 96407490 128543320 192814980 385629960