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381630676 = 227435632
BaseRepresentation
bin10110101111110…
…011100011010100
3222121002211212111
4112233303203110
51240144140201
6101511400404
712312543610
oct2657634324
9877084774
10381630676
11186469859
12a7983104
13610ac48b
1438982340
1523785b51
hex16bf38d4

381630676 has 36 divisors (see below), whose sum is σ = 782401312. Its totient is φ = 159468624.

The previous prime is 381630643. The next prime is 381630721. The reversal of 381630676 is 676036183.

It is a super-3 number, since 3×3816306763 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677571 + ... + 678133.

Almost surely, 2381630676 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 381630676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391200656).

381630676 is an abundant number, since it is smaller than the sum of its proper divisors (400770636).

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

381630676 is an equidigital number, since it uses as much as digits as its factorization.

381630676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 381630676 is about 19535.3698710826. The cubic root of 381630676 is about 725.3502396541.

The spelling of 381630676 in words is "three hundred eighty-one million, six hundred thirty thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 43 86 172 301 563 602 1126 1204 2252 3941 7882 15764 24209 48418 96836 169463 316969 338926 633938 677852 1267876 2218783 4437566 8875132 13629667 27259334 54518668 95407669 190815338 381630676