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381431808 = 212333449
BaseRepresentation
bin10110101111000…
…011000000000000
3222120201202002000
4112233003000000
51240121304213
6101503224000
712311055042
oct2657030000
9876652060
10381431808
111863433aa
12a78a8000
136103cac4
143892da92
1523746c73
hex16bc3000

381431808 has 104 divisors (see below), whose sum is σ = 1130358000. Its totient is φ = 127107072.

The previous prime is 381431807. The next prime is 381431833. The reversal of 381431808 is 808134183.

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

It is not an unprimeable number, because it can be changed into a prime (381431803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108868 + ... + 112316.

Almost surely, 2381431808 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 381431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565179000).

381431808 is an abundant number, since it is smaller than the sum of its proper divisors (748926192).

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

381431808 is an equidigital number, since it uses as much as digits as its factorization.

381431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 381431808 is about 19530.2792606762. The cubic root of 381431808 is about 725.2242242646.

The spelling of 381431808 in words is "three hundred eighty-one million, four hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3449 3456 4096 4608 6144 6898 6912 9216 10347 12288 13796 13824 18432 20694 27592 27648 31041 36864 41388 55184 55296 62082 82776 93123 110368 110592 124164 165552 186246 220736 248328 331104 372492 441472 496656 662208 744984 882944 993312 1324416 1489968 1765888 1986624 2648832 2979936 3531776 3973248 5297664 5959872 7063552 7946496 10595328 11919744 14127104 15892992 21190656 23839488 31785984 42381312 47678976 63571968 95357952 127143936 190715904 381431808