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3314321406 = 232112432823
BaseRepresentation
bin1100010110001100…
…1000011111111110
322112222110222020200
43011203020133332
523241431241111
61304513224330
7145063160424
oct30543103776
98488428220
103314321406
111450936800
12785b620a6
1340a857b36
14236267114
15145e81256
hexc58c87fe

3314321406 has 108 divisors (see below), whose sum is σ = 8090848584. Its totient is φ = 979791120.

The previous prime is 3314321359. The next prime is 3314321407. The reversal of 3314321406 is 6041234133.

3314321406 is a `hidden beast` number, since 331 + 4 + 321 + 4 + 0 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3314321406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314321407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4026711 + ... + 4027533.

Almost surely, 23314321406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314321406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045424292).

3314321406 is an abundant number, since it is smaller than the sum of its proper divisors (4776527178).

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

3314321406 is a wasteful number, since it uses less digits than its factorization.

3314321406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3314321406 is about 57570.1433557361. The cubic root of 3314321406 is about 1490.9561609022.

Adding to 3314321406 its reverse (6041234133), we get a palindrome (9355555539).

The spelling of 3314321406 in words is "three billion, three hundred fourteen million, three hundred twenty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 198 242 258 363 387 473 726 774 823 946 1089 1419 1646 1849 2178 2469 2838 3698 4257 4938 5203 5547 7407 8514 9053 10406 11094 14814 15609 16641 18106 20339 27159 31218 33282 35389 40678 46827 54318 61017 70778 81477 93654 99583 106167 122034 162954 183051 199166 212334 223729 298749 318501 366102 389279 447458 597498 637002 671187 778558 896247 1167837 1342374 1521727 1792494 2013561 2335674 3043454 3503511 4027122 4282069 4565181 7007022 8564138 9130362 12846207 13695543 16738997 25692414 27391086 33477994 38538621 50216991 77077242 100433982 150650973 184128967 301301946 368257934 552386901 1104773802 1657160703 3314321406