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381890304 = 2832831997
BaseRepresentation
bin10110110000110…
…010111100000000
3222121121001000100
4112300302330000
51240230442204
6101521122400
712315004545
oct2660627400
9877531010
10381890304
11186626924
12a7a89400
13611706c3
1438a0cbcc
15237d7a39
hex16c32f00

381890304 has 108 divisors (see below), whose sum is σ = 1114907976. Its totient is φ = 125700096.

The previous prime is 381890297. The next prime is 381890323. The reversal of 381890304 is 403098183.

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 11 ways as a sum of consecutive naturals, for example, 190234 + ... + 192230.

It is an arithmetic number, because the mean of its divisors is an integer number (10323222).

Almost surely, 2381890304 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 381890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557453988).

381890304 is an abundant number, since it is smaller than the sum of its proper divisors (733017672).

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

381890304 is a wasteful number, since it uses less digits than its factorization.

381890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 381890304 is about 19542.0138163906. The cubic root of 381890304 is about 725.5146905698.

The spelling of 381890304 in words is "three hundred eighty-one million, eight hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 576 664 747 768 996 1152 1328 1494 1992 1997 2304 2656 2988 3984 3994 5312 5976 5991 7968 7988 10624 11952 11982 15936 15976 17973 21248 23904 23964 31872 31952 35946 47808 47928 63744 63904 71892 95616 95856 127808 143784 165751 191232 191712 255616 287568 331502 383424 497253 511232 575136 663004 766848 994506 1150272 1326008 1491759 1533696 1989012 2300544 2652016 2983518 3978024 4601088 5304032 5967036 7956048 10608064 11934072 15912096 21216128 23868144 31824192 42432256 47736288 63648384 95472576 127296768 190945152 381890304