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3319431104 = 261116328927
BaseRepresentation
bin1100010111011010…
…0111111111000000
322120100002120102202
43011312213333000
523244233243404
61305214532332
7145154461463
oct30566477700
98510076382
103319431104
1114538067a0
127878070a8
1340b926822
14236bd72da
1514664021e
hexc5da7fc0

3319431104 has 56 divisors (see below), whose sum is σ = 7230148608. Its totient is φ = 1499523840.

The previous prime is 3319431103. The next prime is 3319431109. The reversal of 3319431104 is 4011349133.

It is a super-2 number, since 2×33194311042 = 22037245708405317632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3319431103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100289 + ... + 129215.

Almost surely, 23319431104 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 3319431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615074304).

3319431104 is an abundant number, since it is smaller than the sum of its proper divisors (3910717504).

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

3319431104 is a wasteful number, since it uses less digits than its factorization.

3319431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29113 (or 29103 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 3319431104 is about 57614.5042849455. The cubic root of 3319431104 is about 1491.7219711602.

The spelling of 3319431104 in words is "three billion, three hundred nineteen million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 163 176 326 352 652 704 1304 1793 2608 3586 5216 7172 10432 14344 28688 28927 57376 57854 114752 115708 231416 318197 462832 636394 925664 1272788 1851328 2545576 4715101 5091152 9430202 10182304 18860404 20364608 37720808 51866111 75441616 103732222 150883232 207464444 301766464 414928888 829857776 1659715552 3319431104