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442640376 = 2334683087
BaseRepresentation
bin11010011000100…
…010011111111000
31010211220110110000
4122120202133320
51401303443001
6111531153000
713653244503
oct3230423770
91124813400
10442640376
1120794a2a2
121042a5760
1370920ba9
1442b0413a
1528cd7a86
hex1a6227f8

442640376 has 40 divisors (see below), whose sum is σ = 1239804720. Its totient is φ = 147546576.

The previous prime is 442640371. The next prime is 442640381. The reversal of 442640376 is 673046244.

442640376 is a `hidden beast` number, since 4 + 4 + 2 + 640 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (442640371) and next prime (442640381).

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 442640376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442640371) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 340896 + ... + 342191.

It is an arithmetic number, because the mean of its divisors is an integer number (30995118).

Almost surely, 2442640376 is an apocalyptic number.

It is an amenable number.

442640376 is an abundant number, since it is smaller than the sum of its proper divisors (797164344).

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

442640376 is a wasteful number, since it uses less digits than its factorization.

442640376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683105 (or 683092 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 442640376 is about 21039.0203193970. The cubic root of 442640376 is about 762.1088566661.

The spelling of 442640376 in words is "four hundred forty-two million, six hundred forty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 683087 1366174 2049261 2732348 4098522 5464696 6147783 8197044 12295566 16394088 18443349 24591132 36886698 49182264 55330047 73773396 110660094 147546792 221320188 442640376