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380705724 = 223374331163
BaseRepresentation
bin10110101100010…
…001101110111100
3222112100212002000
4112230101232330
51234430040344
6101435502300
712301642140
oct2654215674
9875325060
10380705724
11185997933
12a75b7990
1360b47479
14387c1220
1523651a69
hex16b11bbc

380705724 has 96 divisors (see below), whose sum is σ = 1131594240. Its totient is φ = 108428544.

The previous prime is 380705711. The next prime is 380705737. The reversal of 380705724 is 427507083.

380705724 is a `hidden beast` number, since 3 + 80 + 7 + 0 + 572 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (380705711) and next prime (380705737).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326767 + ... + 327929.

It is an arithmetic number, because the mean of its divisors is an integer number (11787440).

Almost surely, 2380705724 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 380705724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565797120).

380705724 is an abundant number, since it is smaller than the sum of its proper divisors (750888516).

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

380705724 is a wasteful number, since it uses less digits than its factorization.

380705724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 380705724 is about 19511.6817317216. The cubic root of 380705724 is about 724.7637590975.

The spelling of 380705724 in words is "three hundred eighty million, seven hundred five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 433 756 866 1163 1299 1732 2326 2598 3031 3489 3897 4652 5196 6062 6978 7794 8141 9093 10467 11691 12124 13956 15588 16282 18186 20934 23382 24423 27279 31401 32564 36372 41868 46764 48846 54558 62802 73269 81837 97692 109116 125604 146538 163674 219807 293076 327348 439614 503579 879228 1007158 1510737 2014316 3021474 3525053 4532211 6042948 7050106 9064422 10575159 13596633 14100212 18128844 21150318 27193266 31725477 42300636 54386532 63450954 95176431 126901908 190352862 380705724