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382228240 = 24541116533
BaseRepresentation
bin10110110010000…
…101011100010000
3222122020012120111
4112302011130100
51240322300430
6101532251104
712320613022
oct2662053420
9878205514
10382228240
11186837809
12a8010a94
136125b474
1438a9a012
1523852c2a
hex16c85710

382228240 has 40 divisors (see below), whose sum is σ = 910363608. Its totient is φ = 149160960.

The previous prime is 382228213. The next prime is 382228243. The reversal of 382228240 is 42822283.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 374654736 = 2752^2 + 19356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (382228243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54987 + ... + 61546.

Almost surely, 2382228240 is an apocalyptic number.

It is an amenable number.

382228240 is an abundant number, since it is smaller than the sum of its proper divisors (528135368).

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

382228240 is a wasteful number, since it uses less digits than its factorization.

382228240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116587 (or 116581 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 382228240 is about 19550.6583009371. The cubic root of 382228240 is about 725.7286309308.

The spelling of 382228240 in words is "three hundred eighty-two million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 116533 233066 466132 582665 932264 1165330 1864528 2330660 4661320 4777853 9322640 9555706 19111412 23889265 38222824 47778530 76445648 95557060 191114120 382228240