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306880358431 = 3141107221089
BaseRepresentation
bin1000111011100110111…
…11101010100000011111
31002100010000112110011011
410131303133222200133
520011442332432211
6352551235040051
731112532002353
oct4356337524037
91070100473134
10306880358431
11109168a64439
124b585740027
1322c28404b0a
1410bd2c37463
157eb1743921
hex47737ea81f

306880358431 has 24 divisors (see below), whose sum is σ = 327582702720. Its totient is φ = 287016115200.

The previous prime is 306880358387. The next prime is 306880358453. The reversal of 306880358431 is 134853088603.

It is not a de Polignac number, because 306880358431 - 27 = 306880358303 is a prime.

It is a super-2 number, since 2×3068803584312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306880358461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14541135 + ... + 14562223.

It is an arithmetic number, because the mean of its divisors is an integer number (13649279280).

Almost surely, 2306880358431 is an apocalyptic number.

306880358431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

306880358431 is a deficient number, since it is larger than the sum of its proper divisors (20702344289).

306880358431 is a wasteful number, since it uses less digits than its factorization.

306880358431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21375 (or 21268 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 306880358431 in words is "three hundred six billion, eight hundred eighty million, three hundred fifty-eight thousand, four hundred thirty-one".

Divisors: 1 31 41 107 1271 3317 4387 11449 21089 135997 354919 469409 653759 864649 2256523 14551679 26804119 69952213 92517443 241447961 2868040733 7484886791 9899366401 306880358431