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342264 = 233131097
BaseRepresentation
bin1010011100011111000
3122101111110
41103203320
541423024
611200320
72623566
oct1234370
9571443
10342264
1121416a
121460a0
13bca30
148ca36
156b629
hex538f8

342264 has 32 divisors (see below), whose sum is σ = 922320. Its totient is φ = 105216.

The previous prime is 342257. The next prime is 342281. The reversal of 342264 is 462243.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 342264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 860.

2342264 is an apocalyptic number.

It is an amenable number.

342264 is an abundant number, since it is smaller than the sum of its proper divisors (580056).

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

342264 is a wasteful number, since it uses less digits than its factorization.

342264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 342264 is about 585.0333323837. The cubic root of 342264 is about 69.9498961185.

Subtracting from 342264 its sum of digits (21), we obtain a palindrome (342243).

It can be divided in two parts, 3422 and 64, that added together give a triangular number (3486 = T83).

The spelling of 342264 in words is "three hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1097 2194 3291 4388 6582 8776 13164 14261 26328 28522 42783 57044 85566 114088 171132 342264