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342635904 = 273213137167
BaseRepresentation
bin10100011011000…
…011010110000000
3212212201201002200
4110123003112000
51200203322104
653555513200
711330233332
oct2433032600
9785651080
10342635904
11166455476
12968b8800
1355ca8350
1433711452
1520131b39
hex146c3580

342635904 has 192 divisors, whose sum is σ = 1075969440. Its totient is φ = 104030208.

The previous prime is 342635863. The next prime is 342635927. The reversal of 342635904 is 409536243.

342635904 is a `hidden beast` number, since 3 + 4 + 2 + 63 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 2051629 + ... + 2051795.

Almost surely, 2342635904 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 342635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537984720).

342635904 is an abundant number, since it is smaller than the sum of its proper divisors (733333536).

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

342635904 is a wasteful number, since it uses less digits than its factorization.

342635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 342635904 is about 18510.4268994532. The cubic root of 342635904 is about 699.7522279552.

The spelling of 342635904 in words is "three hundred forty-two million, six hundred thirty-five thousand, nine hundred four".