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3422130816 = 273131315233
BaseRepresentation
bin1100101111111001…
…1001001010000000
322211111100020221210
43023332121022000
524002031141231
61323324050120
7150542426526
oct31376311200
98744306853
103422130816
1114a6781595
127b6093940
13426ca40a0
142466cc316
15150679a46
hexcbf99280

3422130816 has 128 divisors (see below), whose sum is σ = 9865880640. Its totient is φ = 1044725760.

The previous prime is 3422130799. The next prime is 3422130841. The reversal of 3422130816 is 6180312243.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651336 + ... + 656568.

Almost surely, 23422130816 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 3422130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932940320).

3422130816 is an abundant number, since it is smaller than the sum of its proper divisors (6443749824).

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

3422130816 is a wasteful number, since it uses less digits than its factorization.

3422130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3422130816 is about 58498.9813244641. The cubic root of 3422130816 is about 1506.9500908668.

The spelling of 3422130816 in words is "three billion, four hundred twenty-two million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 131 156 192 208 262 312 384 393 416 524 624 786 832 1048 1248 1572 1664 1703 2096 2496 3144 3406 4192 4992 5109 5233 6288 6812 8384 10218 10466 12576 13624 15699 16768 20436 20932 25152 27248 31398 40872 41864 50304 54496 62796 68029 81744 83728 108992 125592 136058 163488 167456 204087 217984 251184 272116 326976 334912 408174 502368 544232 653952 669824 685523 816348 1004736 1088464 1371046 1632696 2009472 2056569 2176928 2742092 3265392 4113138 4353856 5484184 6530784 8226276 8707712 8911799 10968368 13061568 16452552 17823598 21936736 26123136 26735397 32905104 35647196 43873472 53470794 65810208 71294392 87746944 106941588 131620416 142588784 213883176 263240832 285177568 427766352 570355136 855532704 1140710272 1711065408 3422130816