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1334417312 = 25172324637
BaseRepresentation
bin100111110001001…
…1001011110100000
310102222221102102102
41033202121132200
510213102323222
6340225105532
745032234324
oct11742313640
93388842372
101334417312
11625275528
12312a882a8
131835c8757
14c931d984
157c23cd92
hex4f8997a0

1334417312 has 72 divisors (see below), whose sum is σ = 2908499076. Its totient is φ = 600528896.

The previous prime is 1334417309. The next prime is 1334417347. The reversal of 1334417312 is 2137144331.

It can be written as a sum of positive squares in 2 ways, for example, as 1334002576 + 414736 = 36524^2 + 644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285458 + ... + 290094.

Almost surely, 21334417312 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 1334417312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454249538).

1334417312 is an abundant number, since it is smaller than the sum of its proper divisors (1574081764).

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

1334417312 is a wasteful number, since it uses less digits than its factorization.

1334417312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4679 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 1334417312 is about 36529.6771406483. The cubic root of 1334417312 is about 1100.9406037303.

The spelling of 1334417312 in words is "one billion, three hundred thirty-four million, four hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 529 544 736 782 1058 1564 2116 3128 4232 4637 6256 8464 8993 9274 12512 16928 17986 18548 35972 37096 71944 74192 78829 106651 143888 148384 157658 213302 287776 315316 426604 630632 853208 1261264 1706416 1813067 2452973 2522528 3412832 3626134 4905946 7252268 9811892 14504536 19623784 29009072 39247568 41700541 58018144 78495136 83401082 166802164 333604328 667208656 1334417312