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381352704 = 2831729209
BaseRepresentation
bin10110101110101…
…111101100000000
3222120120201120020
4112232233230000
51240111241304
6101501413440
712310305315
oct2656575400
9876521506
10381352704
11186299a27
12a786a280
1361012ab5
143890cd0c
152372d5d9
hex16bafb00

381352704 has 72 divisors (see below), whose sum is σ = 1074694320. Its totient is φ = 119635968.

The previous prime is 381352703. The next prime is 381352709. The reversal of 381352704 is 407253183.

It is a super-2 number, since 2×3813527042 = 290859769696223232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381352703) 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, 1549 + ... + 27660.

It is an arithmetic number, because the mean of its divisors is an integer number (14926310).

Almost surely, 2381352704 is an apocalyptic number.

381352704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537347160).

381352704 is an abundant number, since it is smaller than the sum of its proper divisors (693341616).

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

381352704 is a wasteful number, since it uses less digits than its factorization.

381352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29245 (or 29231 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 381352704 is about 19528.2539926129. The cubic root of 381352704 is about 725.1740867721.

The spelling of 381352704 in words is "three hundred eighty-one million, three hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 29209 58418 87627 116836 175254 233672 350508 467344 496553 701016 934688 993106 1402032 1489659 1869376 1986212 2804064 2979318 3738752 3972424 5608128 5958636 7477504 7944848 11216256 11917272 15889696 22432512 23834544 31779392 47669088 63558784 95338176 127117568 190676352 381352704