Search a number
-
+
93360344 = 23711314889
BaseRepresentation
bin1011001000010…
…01000011011000
320111200012022112
411210021003120
5142400012334
613133011452
72212356410
oct544110330
9214605275
1093360344
1148777010
1227323b88
131645a60c
14c583640
1582e24ce
hex59090d8

93360344 has 64 divisors (see below), whose sum is σ = 225331200. Its totient is φ = 35193600.

The previous prime is 93360329. The next prime is 93360347. The reversal of 93360344 is 44306339.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 93360344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93360347) 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, 16652 + ... + 21540.

It is an arithmetic number, because the mean of its divisors is an integer number (3520800).

Almost surely, 293360344 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 93360344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112665600).

93360344 is an abundant number, since it is smaller than the sum of its proper divisors (131970856).

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

93360344 is a wasteful number, since it uses less digits than its factorization.

93360344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 93360344 is about 9662.3156644771. The cubic root of 93360344 is about 453.6498947155.

The spelling of 93360344 in words is "ninety-three million, three hundred sixty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4774 4889 9548 9778 19096 19556 34223 39112 53779 68446 107558 136892 151559 215116 273784 303118 376453 430232 606236 752906 1060913 1212472 1505812 1667149 2121826 3011624 3334298 4243652 6668596 8487304 11670043 13337192 23340086 46680172 93360344