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342805626 = 232311633769
BaseRepresentation
bin10100011011101…
…100110001111010
3212220001022220200
4110123230301322
51200224240001
654003303030
711331541212
oct2433546172
9786038820
10342805626
11166560a39
129697aa76
1356037687
1433757242
1520167086
hex146ecc7a

342805626 has 48 divisors (see below), whose sum is σ = 771613440. Its totient is φ = 109874880.

The previous prime is 342805621. The next prime is 342805627. The reversal of 342805626 is 626508243.

342805626 is a `hidden beast` number, since 3 + 4 + 28 + 0 + 5 + 626 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (342805621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89070 + ... + 92838.

It is an arithmetic number, because the mean of its divisors is an integer number (16075280).

Almost surely, 2342805626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342805626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385806720).

342805626 is an abundant number, since it is smaller than the sum of its proper divisors (428807814).

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

342805626 is a wasteful number, since it uses less digits than its factorization.

342805626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 342805626 is about 18515.0108290544. The cubic root of 342805626 is about 699.8677478041.

The spelling of 342805626 in words is "three hundred forty-two million, eight hundred five thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 163 186 279 326 489 558 978 1467 2934 3769 5053 7538 10106 11307 15159 22614 30318 33921 45477 67842 90954 116839 233678 350517 614347 701034 1051551 1228694 1843041 2103102 3686082 5529123 11058246 19044757 38089514 57134271 114268542 171402813 342805626