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76090344 = 233112331237
BaseRepresentation
bin1001000100100…
…00101111101000
312022011210022220
410202100233220
5123434342334
611314514040
71612520511
oct442205750
9168153286
1076090344
1139a50890
1221595920
13129c1995
14a169a08
156a30449
hex4890be8

76090344 has 64 divisors (see below), whose sum is σ = 208578240. Its totient is φ = 22940160.

The previous prime is 76090331. The next prime is 76090367. The reversal of 76090344 is 44309067.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60894 + ... + 62130.

It is an arithmetic number, because the mean of its divisors is an integer number (3259035).

Almost surely, 276090344 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 76090344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104289120).

76090344 is an abundant number, since it is smaller than the sum of its proper divisors (132487896).

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

76090344 is a wasteful number, since it uses less digits than its factorization.

76090344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 76090344 is about 8722.9779318762. The cubic root of 76090344 is about 423.7501346142.

The spelling of 76090344 in words is "seventy-six million, ninety thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 233 264 466 699 932 1237 1398 1864 2474 2563 2796 3711 4948 5126 5592 7422 7689 9896 10252 13607 14844 15378 20504 27214 29688 30756 40821 54428 61512 81642 108856 163284 288221 326568 576442 864663 1152884 1729326 2305768 3170431 3458652 6340862 6917304 9511293 12681724 19022586 25363448 38045172 76090344