Search a number
-
+
3413088714 = 237615212557
BaseRepresentation
bin1100101101101111…
…1001100111001010
322210212022212112010
43023123321213022
523442222314324
61322402200350
7150402526650
oct31333714712
98725285463
103413088714
1114a1666082
127b30530b6
13425159529
14245416dd0
1514e990829
hexcb6f99ca

3413088714 has 64 divisors (see below), whose sum is σ = 7947562752. Its totient is φ = 956966400.

The previous prime is 3413088709. The next prime is 3413088727. The reversal of 3413088714 is 4178803143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333524 + ... + 1336080.

It is an arithmetic number, because the mean of its divisors is an integer number (124180668).

Almost surely, 23413088714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413088714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973781376).

3413088714 is an abundant number, since it is smaller than the sum of its proper divisors (4534474038).

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

3413088714 is a wasteful number, since it uses less digits than its factorization.

3413088714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3413088714 is about 58421.6459371011. The cubic root of 3413088714 is about 1505.6216772869.

The spelling of 3413088714 in words is "three billion, four hundred thirteen million, eighty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 521 854 1042 1281 1563 2557 2562 3126 3647 5114 7294 7671 10941 15342 17899 21882 31781 35798 53697 63562 95343 107394 155977 190686 222467 311954 444934 467931 667401 935862 1091839 1332197 1334802 2183678 2664394 3275517 3996591 6551034 7993182 9325379 18650758 27976137 55952274 81264017 162528034 243792051 487584102 568848119 1137696238 1706544357 3413088714