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385331688 = 233374743
BaseRepresentation
bin10110111101111…
…011000111101000
3222212001212201000
4112331323013220
51242121103223
6102122555000
712356160000
oct2675730750
9885055630
10385331688
11188567445
12a9068a60
1361aa6c21
1439267000
1523c67543
hex16f7b1e8

385331688 has 160 divisors (see below), whose sum is σ = 1250366400. Its totient is φ = 109946592.

The previous prime is 385331657. The next prime is 385331747. The reversal of 385331688 is 886133583.

385331688 is a `hidden beast` number, since 38 + 533 + 1 + 6 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 518245 + ... + 518987.

It is an arithmetic number, because the mean of its divisors is an integer number (7814790).

Almost surely, 2385331688 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 385331688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625183200).

385331688 is an abundant number, since it is smaller than the sum of its proper divisors (865034712).

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

385331688 is an equidigital number, since it uses as much as digits as its factorization.

385331688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 755 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 385331688 is about 19629.8672435654. The cubic root of 385331688 is about 727.6874891408.

The spelling of 385331688 in words is "three hundred eighty-five million, three hundred thirty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 743 756 882 1029 1176 1323 1372 1486 1512 1764 2058 2229 2401 2646 2744 2972 3087 3528 4116 4458 4802 5201 5292 5944 6174 6687 7203 8232 8916 9261 9604 10402 10584 12348 13374 14406 15603 17832 18522 19208 20061 20804 21609 24696 26748 28812 31206 36407 37044 40122 41608 43218 46809 53496 57624 62412 64827 72814 74088 80244 86436 93618 109221 124824 129654 140427 145628 160488 172872 187236 218442 254849 259308 280854 291256 327663 374472 436884 509698 518616 561708 655326 764547 873768 982989 1019396 1123416 1310652 1529094 1783943 1965978 2038792 2293641 2621304 3058188 3567886 3931956 4587282 5351829 6116376 6880923 7135772 7863912 9174564 10703658 13761846 14271544 16055487 18349128 21407316 27523692 32110974 42814632 48166461 55047384 64221948 96332922 128443896 192665844 385331688