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368050080 = 25357511021
BaseRepresentation
bin10101111011111…
…111111110100000
3221122112212210110
4111323333332200
51223210100310
6100304331320
712056242206
oct2573777640
9848485713
10368050080
11179833522
12a3313b40
135b335c18
1436c49076
15224a1d20
hex15efffa0

368050080 has 96 divisors (see below), whose sum is σ = 1162038528. Its totient is φ = 97920000.

The previous prime is 368050057. The next prime is 368050087. The reversal of 368050080 is 80050863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3680500802 = 270921722776012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (368050087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359970 + ... + 360990.

It is an arithmetic number, because the mean of its divisors is an integer number (12104568).

Almost surely, 2368050080 is an apocalyptic number.

368050080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581019264).

368050080 is an abundant number, since it is smaller than the sum of its proper divisors (793988448).

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

368050080 is a wasteful number, since it uses less digits than its factorization.

368050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 368050080 is about 19184.6313490773. The cubic root of 368050080 is about 716.6420798007.

The spelling of 368050080 in words is "three hundred sixty-eight million, fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 751 1021 1502 2042 2253 3004 3063 3755 4084 4506 5105 6008 6126 7510 8168 9012 10210 11265 12016 12252 15020 15315 16336 18024 20420 22530 24032 24504 30040 30630 32672 36048 40840 45060 49008 60080 61260 72096 81680 90120 98016 120160 122520 163360 180240 245040 360480 490080 766771 1533542 2300313 3067084 3833855 4600626 6134168 7667710 9201252 11501565 12268336 15335420 18402504 23003130 24536672 30670840 36805008 46006260 61341680 73610016 92012520 122683360 184025040 368050080