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342315936 = 2533396199
BaseRepresentation
bin10100011001110…
…101001110100000
3212212010110012000
4110121311032200
51200113102221
653545004000
711324431434
oct2431651640
9785113160
10342315936
11166257036
1296783600
1355bc5811
143366a9c4
15200bbe26
hex146753a0

342315936 has 48 divisors (see below), whose sum is σ = 998424000. Its totient is φ = 114105024.

The previous prime is 342315781. The next prime is 342315959. The reversal of 342315936 is 639513243.

It is a happy number.

342315936 is a `hidden beast` number, since 34 + 2 + 31 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342315936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197236 + ... + 198963.

It is an arithmetic number, because the mean of its divisors is an integer number (20800500).

Almost surely, 2342315936 is an apocalyptic number.

342315936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342315936 is an abundant number, since it is smaller than the sum of its proper divisors (656108064).

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

342315936 is a wasteful number, since it uses less digits than its factorization.

342315936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396218 (or 396204 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 342315936 is about 18501.7819682321. The cubic root of 342315936 is about 699.5343406393.

The spelling of 342315936 in words is "three hundred forty-two million, three hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 396199 792398 1188597 1584796 2377194 3169592 3565791 4754388 6339184 7131582 9508776 10697373 12678368 14263164 19017552 21394746 28526328 38035104 42789492 57052656 85578984 114105312 171157968 342315936