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382061376 = 2632663301
BaseRepresentation
bin10110110001011…
…100101101000000
3222121220201200100
4112301130231000
51240301431001
6101524522400
712316316364
oct2661345500
9877821610
10382061376
11186733404
12a7b50400
1361200528
1438a552a4
152381d586
hex16c5cb40

382061376 has 42 divisors (see below), whose sum is σ = 1095111602. Its totient is φ = 127353600.

The previous prime is 382061357. The next prime is 382061387. The reversal of 382061376 is 673160283.

It is a happy number.

382061376 is a `hidden beast` number, since 38 + 2 + 0 + 613 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 290361600 + 91699776 = 17040^2 + 9576^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 382061376.

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 5 ways as a sum of consecutive naturals, for example, 331075 + ... + 332226.

Almost surely, 2382061376 is an apocalyptic number.

382061376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

382061376 is an abundant number, since it is smaller than the sum of its proper divisors (713050226).

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

382061376 is a wasteful number, since it uses less digits than its factorization.

382061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663319 (or 663306 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 382061376 is about 19546.3903573013. The cubic root of 382061376 is about 725.6230085165.

The spelling of 382061376 in words is "three hundred eighty-two million, sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 663301 1326602 1989903 2653204 3979806 5306408 5969709 7959612 10612816 11939418 15919224 21225632 23878836 31838448 42451264 47757672 63676896 95515344 127353792 191030688 382061376