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10347389208 = 233213192113271
BaseRepresentation
bin10011010001100000…
…01010000100011000
3222201010102211112100
421220300022010120
5132142412423313
64430432243400
7514263233322
oct115060120430
928633384470
1010347389208
11442a916732
1220093a0560
13c8b96b210
14702350612
1540862d173
hex268c0a118

10347389208 has 288 divisors, whose sum is σ = 32252351040. Its totient is φ = 2978519040.

The previous prime is 10347389177. The next prime is 10347389243. The reversal of 10347389208 is 80298374301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38182113 + ... + 38182383.

It is an arithmetic number, because the mean of its divisors is an integer number (111987330).

Almost surely, 210347389208 is an apocalyptic number.

10347389208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10347389208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126175520).

10347389208 is an abundant number, since it is smaller than the sum of its proper divisors (21904961832).

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

10347389208 is a wasteful number, since it uses less digits than its factorization.

10347389208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10347389208 in words is "ten billion, three hundred forty-seven million, three hundred eighty-nine thousand, two hundred eight".