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382720680 = 23335354371
BaseRepresentation
bin10110110011111…
…101101010101000
3222200011020002000
4112303331222220
51240434030210
6101551011000
712325033506
oct2663755250
9880136060
10382720680
11187043791
12a8209a60
13613a1654
1438b87676
15238edac0
hex16cfdaa8

382720680 has 64 divisors (see below), whose sum is σ = 1275739200. Its totient is φ = 102058560.

The previous prime is 382720661. The next prime is 382720693. The reversal of 382720680 is 86027283.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 176106 + ... + 178265.

It is an arithmetic number, because the mean of its divisors is an integer number (19933425).

Almost surely, 2382720680 is an apocalyptic number.

382720680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382720680 is an abundant number, since it is smaller than the sum of its proper divisors (893018520).

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

382720680 is a wasteful number, since it uses less digits than its factorization.

382720680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354391 (or 354381 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 382720680 is about 19563.2481965547. The cubic root of 382720680 is about 726.0401589697.

The spelling of 382720680 in words is "three hundred eighty-two million, seven hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 354371 708742 1063113 1417484 1771855 2126226 2834968 3189339 3543710 4252452 5315565 6378678 7087420 8504904 9568017 10631130 12757356 14174840 15946695 19136034 21262260 25514712 31893390 38272068 42524520 47840085 63786780 76544136 95680170 127573560 191360340 382720680