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380257024 = 287443479
BaseRepresentation
bin10110101010100…
…100001100000000
3222111112001120111
4112222210030000
51234321211044
6101422121104
712265063030
oct2652441400
9874461514
10380257024
11185710804
12a7420194
1360a1b174
14387058c0
15235b3b34
hex16aa4300

380257024 has 72 divisors (see below), whose sum is σ = 871234560. Its totient is φ = 162259968.

The previous prime is 380256991. The next prime is 380257049. The reversal of 380257024 is 420752083.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793617 + ... + 794095.

It is an arithmetic number, because the mean of its divisors is an integer number (12100480).

Almost surely, 2380257024 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 380257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435617280).

380257024 is an abundant number, since it is smaller than the sum of its proper divisors (490977536).

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

380257024 is an equidigital number, since it uses as much as digits as its factorization.

380257024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 380257024 is about 19500.1801017324. The cubic root of 380257024 is about 724.4789114906.

The spelling of 380257024 in words is "three hundred eighty million, two hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 443 448 479 886 896 958 1772 1792 1916 3101 3353 3544 3832 6202 6706 7088 7664 12404 13412 14176 15328 24808 26824 28352 30656 49616 53648 56704 61312 99232 107296 113408 122624 198464 212197 214592 396928 424394 429184 793856 848788 858368 1485379 1697576 2970758 3395152 5941516 6790304 11883032 13580608 23766064 27161216 47532128 54322432 95064256 190128512 380257024