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1334044296 = 2333132332039
BaseRepresentation
bin100111110000011…
…1110011010001000
310102222020110202000
41033200332122020
510213003404141
6340213111000
745026121654
oct11740763210
93388213660
101334044296
11625040252
12312928460
131834c7a30
14c9263a64
157c1b75b6
hex4f83e688

1334044296 has 128 divisors (see below), whose sum is σ = 4009824000. Its totient is φ = 408513024.

The previous prime is 1334044279. The next prime is 1334044301. The reversal of 1334044296 is 6924404331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1334044296.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653245 + ... + 655283.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 21334044296 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 1334044296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

1334044296 is an abundant number, since it is smaller than the sum of its proper divisors (2675779704).

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

1334044296 is a wasteful number, since it uses less digits than its factorization.

1334044296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1334044296 is about 36524.5711268456. The cubic root of 1334044296 is about 1100.8380104541.

The spelling of 1334044296 in words is "one billion, three hundred thirty-four million, forty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 233 234 312 351 466 468 699 702 932 936 1398 1404 1864 2039 2097 2796 2808 3029 4078 4194 5592 6058 6117 6291 8156 8388 9087 12116 12234 12582 16312 16776 18174 18351 24232 24468 25164 26507 27261 36348 36702 48936 50328 53014 54522 55053 72696 73404 79521 81783 106028 109044 110106 146808 159042 163566 212056 218088 220212 238563 318084 327132 440424 475087 477126 636168 654264 715689 950174 954252 1425261 1431378 1900348 1908504 2850522 2862756 3800696 4275783 5701044 5725512 6176131 8551566 11402088 12352262 12827349 17103132 18528393 24704524 25654698 34206264 37056786 49409048 51309396 55585179 74113572 102618792 111170358 148227144 166755537 222340716 333511074 444681432 667022148 1334044296