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381733560 = 23365131953
BaseRepresentation
bin10110110000001…
…100101010111000
3222121022002000000
4112300030222320
51240210433220
6101513513000
712313452555
oct2660145270
9877262000
10381733560
1118652a08a
12a7a12760
1361117260
14389aba2c
15237a6390
hex16c0cab8

381733560 has 448 divisors, whose sum is σ = 1487354400. Its totient is φ = 87340032.

The previous prime is 381733537. The next prime is 381733621. The reversal of 381733560 is 65337183.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7202494 + ... + 7202546.

Almost surely, 2381733560 is an apocalyptic number.

381733560 is a gapful number since it is divisible by the number (30) 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 381733560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743677200).

381733560 is an abundant number, since it is smaller than the sum of its proper divisors (1105620840).

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

381733560 is a wasteful number, since it uses less digits than its factorization.

381733560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 381733560 is about 19538.0029685738. The cubic root of 381733560 is about 725.4154163057.

The spelling of 381733560 in words is "three hundred eighty-one million, seven hundred thirty-three thousand, five hundred sixty".