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342356385888 = 25361119234371
BaseRepresentation
bin1001111101101100000…
…01111110000001100000
31012201200101221101000000
410332312001332001200
521102121213322023
6421135405300000
733506624160006
oct4766601760140
91181611841000
10342356385888
111222132889a0
1256426564600
132639013923a
14127da658a76
158d8aea4243
hex4fb607e060

342356385888 has 1344 divisors, whose sum is σ = 1256516997120. Its totient is φ = 90531302400.

The previous prime is 342356385751. The next prime is 342356385923. The reversal of 342356385888 is 888583653243.

342356385888 is a `hidden beast` number, since 3 + 42 + 3 + 5 + 6 + 3 + 8 + 588 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4821920893 + ... + 4821920963.

It is an arithmetic number, because the mean of its divisors is an integer number (934908480).

Almost surely, 2342356385888 is an apocalyptic number.

342356385888 is a gapful number since it is divisible by the number (38) 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 342356385888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628258498560).

342356385888 is an abundant number, since it is smaller than the sum of its proper divisors (914160611232).

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

342356385888 is a wasteful number, since it uses less digits than its factorization.

342356385888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 342356385888 in words is "three hundred forty-two billion, three hundred fifty-six million, three hundred eighty-five thousand, eight hundred eighty-eight".