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34296 = 2331429
BaseRepresentation
bin1000010111111000
31202001020
420113320
52044141
6422440
7201663
oct102770
952036
1034296
1123849
1217a20
13127c2
14c6da
15a266
hex85f8

34296 has 16 divisors (see below), whose sum is σ = 85800. Its totient is φ = 11424.

The previous prime is 34283. The next prime is 34297. The reversal of 34296 is 69243.

34296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1429 = 34296 / (3 + 4 + 2 + 9 + 6).

It is a d-powerful number, because it can be written as 36 + 43 + 215 + 93 + 6 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34296.

It is not an unprimeable number, because it can be changed into a prime (34297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 691 + ... + 738.

234296 is an apocalyptic number.

It is an amenable number.

34296 is an abundant number, since it is smaller than the sum of its proper divisors (51504).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900).

34296 is a wasteful number, since it uses less digits than its factorization.

34296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1434 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 34296 is about 185.1917924747. The cubic root of 34296 is about 32.4898587688.

The spelling of 34296 in words is "thirty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 1429 2858 4287 5716 8574 11432 17148 34296