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3429987912 = 2332133799041
BaseRepresentation
bin1100110001110001…
…0111011001001000
322212001010102212100
43030130113121020
524011034103122
61324204313400
7150666262521
oct31434273110
98761112770
103429987912
11150015875a
127b8842860
134287c5460
14247775848
151511ccaac
hexcc717648

3429987912 has 96 divisors (see below), whose sum is σ = 10274617080. Its totient is φ = 1026846720.

The previous prime is 3429987871. The next prime is 3429987931. The reversal of 3429987912 is 2197899243.

It can be written as a sum of positive squares in 4 ways, for example, as 2638465956 + 791521956 = 51366^2 + 28134^2 .

It is a super-2 number, since 2×34299879122 = 23529634152932239488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14889 + ... + 84152.

Almost surely, 23429987912 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 3429987912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137308540).

3429987912 is an abundant number, since it is smaller than the sum of its proper divisors (6844629168).

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

3429987912 is a wasteful number, since it uses less digits than its factorization.

3429987912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99103 (or 99096 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 3429987912 is about 58566.0986578413. The cubic root of 3429987912 is about 1508.1025114007.

The spelling of 3429987912 in words is "three billion, four hundred twenty-nine million, nine hundred eighty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1924 2664 2886 3848 4329 5772 8658 11544 17316 34632 99041 198082 297123 396164 594246 792328 891369 1188492 1287533 1782738 2376984 2575066 3565476 3664517 3862599 5150132 7130952 7329034 7725198 10300264 10993551 11587797 14658068 15450396 21987102 23175594 29316136 30900792 32980653 43974204 46351188 47638721 65961306 87948408 92702376 95277442 131922612 142916163 190554884 263845224 285832326 381109768 428748489 571664652 857496978 1143329304 1714993956 3429987912