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3124313406 = 2324138910883
BaseRepresentation
bin1011101000111001…
…0011110100111110
322001201221120021100
42322032103310332
522344311012111
61234004513530
7140265140304
oct27216236476
98051846240
103124313406
1113636589a5
127323ab8a6
133aa38b876
14218d26274
1513444c756
hexba393d3e

3124313406 has 48 divisors (see below), whose sum is σ = 6952916880. Its totient is φ = 1013331840.

The previous prime is 3124313371. The next prime is 3124313407. The reversal of 3124313406 is 6043134213.

3124313406 is a `hidden beast` number, since 3 + 1 + 243 + 13 + 406 = 666.

It is a super-2 number, since 2×31243134062 = 19522668517822641672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3124313406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124313407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281641 + ... + 292523.

It is an arithmetic number, because the mean of its divisors is an integer number (144852435).

Almost surely, 23124313406 is an apocalyptic number.

3124313406 is an abundant number, since it is smaller than the sum of its proper divisors (3828603474).

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

3124313406 is a wasteful number, since it uses less digits than its factorization.

3124313406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11321 (or 11318 counting only the distinct ones).

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

The square root of 3124313406 is about 55895.5580167154. The cubic root of 3124313406 is about 1461.9017885686.

Adding to 3124313406 its reverse (6043134213), we get a palindrome (9167447619).

The spelling of 3124313406 in words is "three billion, one hundred twenty-four million, three hundred thirteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 389 738 778 1167 2334 3501 7002 10883 15949 21766 31898 32649 47847 65298 95694 97947 143541 195894 287082 446203 892406 1338609 2677218 4015827 4233487 8031654 8466974 12700461 25400922 38101383 76202766 173572967 347145934 520718901 1041437802 1562156703 3124313406