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3422291912 = 23132372432
BaseRepresentation
bin1100101111111100…
…0000011111001000
322211111122102221022
43023333000133020
524002101320122
61323331332012
7150544000304
oct31377003710
98744572838
103422291912
1114a6881626
127b6151008
1342702c500
14246730d04
151506ac642
hexcbfc07c8

3422291912 has 108 divisors (see below), whose sum is σ = 7311172995. Its totient is φ = 1501089408.

The previous prime is 3422291881. The next prime is 3422291963. The reversal of 3422291912 is 2191922243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1931250916 + 1491040996 = 43946^2 + 38614^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=41366.

It is a Duffinian number.

Its product of digits (15552) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79588163 + ... + 79588205.

Almost surely, 23422291912 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 3422291912

3422291912 is an abundant number, since it is smaller than the sum of its proper divisors (3888881083).

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

3422291912 is a wasteful number, since it uses less digits than its factorization.

3422291912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 95 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 3422291912 is about 58500.3582211254. The cubic root of 3422291912 is about 1506.9737369356.

The spelling of 3422291912 in words is "three billion, four hundred twenty-two million, two hundred ninety-one thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 26 37 43 52 74 86 104 148 169 172 296 338 344 481 559 676 962 1118 1352 1369 1591 1849 1924 2236 2738 3182 3698 3848 4472 5476 6253 6364 7267 7396 10952 12506 12728 14534 14792 17797 20683 24037 25012 29068 35594 41366 48074 50024 58136 58867 68413 71188 82732 96148 117734 136826 142376 165464 192296 231361 235468 268879 273652 312481 462722 470936 537758 547304 624962 765271 889369 925444 1075516 1249924 1530542 1778738 1850888 2151032 2499848 2531281 3061084 3557476 5062562 6122168 7114952 9948523 10125124 11561797 19897046 20250248 23123594 32906653 39794092 46247188 65813306 79588184 92494376 131626612 263253224 427786489 855572978 1711145956 3422291912