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342664 = 23729211
BaseRepresentation
bin1010011101010001000
3122102001021
41103222020
541431124
611202224
72625010
oct1235210
9572037
10342664
112144a3
12146374
13bcc7a
148cc40
156b7e4
hex53a88

342664 has 32 divisors (see below), whose sum is σ = 763200. Its totient is φ = 141120.

The previous prime is 342659. The next prime is 342673. The reversal of 342664 is 466243.

342664 = T139 + T140 + ... + T167.

342664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

342664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1519 + ... + 1729.

It is an arithmetic number, because the mean of its divisors is an integer number (23850).

2342664 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 342664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381600).

342664 is an abundant number, since it is smaller than the sum of its proper divisors (420536).

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

342664 is a wasteful number, since it uses less digits than its factorization.

342664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 342664 is about 585.3750934230. The cubic root of 342664 is about 69.9771353895.

The spelling of 342664 in words is "three hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 211 232 406 422 812 844 1477 1624 1688 2954 5908 6119 11816 12238 24476 42833 48952 85666 171332 342664