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342067968 = 2833112409
BaseRepresentation
bin10100011000111…
…000101100000000
3212211122212001000
4110120320230000
51200032133333
653535412000
711322346464
oct2430705400
9784585030
10342067968
111660a7800
1296684000
1355b399a8
14336044a4
152006d713
hex14638b00

342067968 has 216 divisors, whose sum is σ = 1114593200. Its totient is φ = 103403520.

The previous prime is 342067939. The next prime is 342067987. The reversal of 342067968 is 869760243.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836148 + ... + 836556.

Almost surely, 2342067968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557296600).

342067968 is an abundant number, since it is smaller than the sum of its proper divisors (772525232).

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

342067968 is a wasteful number, since it uses less digits than its factorization.

342067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 342067968 is about 18495.0795618727. The cubic root of 342067968 is about 699.3653894704.

The spelling of 342067968 in words is "three hundred forty-two million, sixty-seven thousand, nine hundred sixty-eight".