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381570816 = 2831131247
BaseRepresentation
bin10110101111100…
…100111100000000
3222120222210202110
4112233210330000
51240140231231
6101510215320
712312204234
oct2657447400
9876883673
10381570816
11186428890
12a7954540
136108b163
14389685c4
1523773046
hex16be4f00

381570816 has 216 divisors, whose sum is σ = 1169102592. Its totient is φ = 109516800.

The previous prime is 381570773. The next prime is 381570821. The reversal of 381570816 is 618075183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8118505 + ... + 8118551.

It is an arithmetic number, because the mean of its divisors is an integer number (5412512).

Almost surely, 2381570816 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 381570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584551296).

381570816 is an abundant number, since it is smaller than the sum of its proper divisors (787531776).

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

381570816 is a wasteful number, since it uses less digits than its factorization.

381570816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 381570816 is about 19533.8377181751. The cubic root of 381570816 is about 725.3123131644.

The spelling of 381570816 in words is "three hundred eighty-one million, five hundred seventy thousand, eight hundred sixteen".