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381290760 = 23335353047
BaseRepresentation
bin10110101110100…
…000100100001000
3222120110120121000
4112232200210020
51240102301020
6101500215000
712306626604
oct2656404410
9876416530
10381290760
11186257434
12a783a460
1360cc0846
14388d4504
152371a090
hex16ba0908

381290760 has 64 divisors (see below), whose sum is σ = 1270972800. Its totient is φ = 101677248.

The previous prime is 381290759. The next prime is 381290771. The reversal of 381290760 is 67092183.

381290760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3812907602 = 290765287322755200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175444 + ... + 177603.

It is an arithmetic number, because the mean of its divisors is an integer number (19858950).

Almost surely, 2381290760 is an apocalyptic number.

381290760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381290760 is an abundant number, since it is smaller than the sum of its proper divisors (889682040).

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

381290760 is a wasteful number, since it uses less digits than its factorization.

381290760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353067 (or 353057 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 381290760 is about 19526.6679185159. The cubic root of 381290760 is about 725.1348207457.

The spelling of 381290760 in words is "three hundred eighty-one million, two hundred ninety thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 353047 706094 1059141 1412188 1765235 2118282 2824376 3177423 3530470 4236564 5295705 6354846 7060940 8473128 9532269 10591410 12709692 14121880 15887115 19064538 21182820 25419384 31774230 38129076 42365640 47661345 63548460 76258152 95322690 127096920 190645380 381290760