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342805764 = 223721793257
BaseRepresentation
bin10100011011101…
…100110100000100
3212220001100002210
4110123230310010
51200224241024
654003303420
711331541500
oct2433546404
9786040083
10342805764
11166561054
129697ab70
1356037762
1433757300
1520167129
hex146ecd04

342805764 has 72 divisors (see below), whose sum is σ = 935958240. Its totient is φ = 97367424.

The previous prime is 342805759. The next prime is 342805819. The reversal of 342805764 is 467508243.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 103624 + ... + 106880.

It is an arithmetic number, because the mean of its divisors is an integer number (12999420).

Almost surely, 2342805764 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 342805764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467979120).

342805764 is an abundant number, since it is smaller than the sum of its proper divisors (593152476).

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

342805764 is a wasteful number, since it uses less digits than its factorization.

342805764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 342805764 is about 18515.0145557599. The cubic root of 342805764 is about 699.8678417171.

The spelling of 342805764 in words is "three hundred forty-two million, eight hundred five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 179 196 294 358 537 588 716 1074 1253 2148 2506 3257 3759 5012 6514 7518 8771 9771 13028 15036 17542 19542 22799 26313 35084 39084 45598 52626 68397 91196 105252 136794 159593 273588 319186 478779 583003 638372 957558 1166006 1749009 1915116 2332012 3498018 4081021 6996036 8162042 12243063 16324084 24486126 28567147 48972252 57134294 85701441 114268588 171402882 342805764