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3400431318 = 232509937049
BaseRepresentation
bin1100101010101110…
…0111011011010110
322202222111210211200
43022223213123112
523431002300233
61321231013330
7150160121634
oct31253473326
98688453750
103400431318
111495500419
127aa96a246
1342264724b
14243880354
1514d7e0313
hexcaae76d6

3400431318 has 24 divisors (see below), whose sum is σ = 7369245000. Its totient is φ = 1133224224.

The previous prime is 3400431301. The next prime is 3400431347. The reversal of 3400431318 is 8131340043.

3400431318 is a `hidden beast` number, since 340 + 0 + 4 + 3 + 1 + 318 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3400431291 and 3400431300.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 73258 + ... + 110306.

It is an arithmetic number, because the mean of its divisors is an integer number (307051875).

Almost surely, 23400431318 is an apocalyptic number.

3400431318 is an abundant number, since it is smaller than the sum of its proper divisors (3968813682).

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

3400431318 is a wasteful number, since it uses less digits than its factorization.

3400431318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42156 (or 42153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3400431318 is about 58313.2173525008. The cubic root of 3400431318 is about 1503.7581788640.

The spelling of 3400431318 in words is "three billion, four hundred million, four hundred thirty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 5099 10198 15297 30594 37049 45891 74098 91782 111147 222294 333441 666882 188912851 377825702 566738553 1133477106 1700215659 3400431318