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348857155920 = 2435713413171229
BaseRepresentation
bin1010001001110011000…
…00011100000101010000
31020100110110021201000110
411010321200130011100
521203424412442140
6424132431321320
734130001620220
oct5047140340520
91210413251013
10348857155920
11124a49851709
125773b680240
1326b87b99720
1412c55b80080
15911ba58380
hex513981c150

348857155920 has 640 divisors, whose sum is σ = 1368902384640. Its totient is φ = 71525007360.

The previous prime is 348857155903. The next prime is 348857155921. The reversal of 348857155920 is 29551758843.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348857155921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283853866 + ... + 283855094.

It is an arithmetic number, because the mean of its divisors is an integer number (2138909976).

Almost surely, 2348857155920 is an apocalyptic number.

348857155920 is a gapful number since it is divisible by the number (30) 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 348857155920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684451192320).

348857155920 is an abundant number, since it is smaller than the sum of its proper divisors (1020045228720).

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

348857155920 is a wasteful number, since it uses less digits than its factorization.

348857155920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 348857155920 in words is "three hundred forty-eight billion, eight hundred fifty-seven million, one hundred fifty-five thousand, nine hundred twenty".