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381283680 = 2535794341
BaseRepresentation
bin10110101110011…
…110110101100000
3222120110012212210
4112232132311200
51240102034210
6101500122120
712306600141
oct2656366540
9876405783
10381283680
11186252088
12a7836340
1360cba55b
14388d1ac8
1523717e20
hex16b9ed60

381283680 has 48 divisors (see below), whose sum is σ = 1201045104. Its totient is φ = 101675520.

The previous prime is 381283613. The next prime is 381283691. The reversal of 381283680 is 86382183.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 396691 + ... + 397650.

It is an arithmetic number, because the mean of its divisors is an integer number (25021773).

Almost surely, 2381283680 is an apocalyptic number.

381283680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381283680 is an abundant number, since it is smaller than the sum of its proper divisors (819761424).

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

381283680 is a wasteful number, since it uses less digits than its factorization.

381283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794359 (or 794351 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 381283680 is about 19526.4866271431. The cubic root of 381283680 is about 725.1303324943.

The spelling of 381283680 in words is "three hundred eighty-one million, two hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 794341 1588682 2383023 3177364 3971705 4766046 6354728 7943410 9532092 11915115 12709456 15886820 19064184 23830230 25418912 31773640 38128368 47660460 63547280 76256736 95320920 127094560 190641840 381283680