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34468 = 2271231
BaseRepresentation
bin1000011010100100
31202021121
420122210
52100333
6423324
7202330
oct103244
952247
1034468
1123995
1217b44
13128c5
14c7c0
15a32d
hex86a4

34468 has 12 divisors (see below), whose sum is σ = 68992. Its totient is φ = 14760.

The previous prime is 34457. The next prime is 34469. The reversal of 34468 is 86443.

34468 is nontrivially palindromic in base 6.

34468 is an admirable number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (34469) 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, 588 + ... + 643.

234468 is an apocalyptic number.

It is an amenable number.

34468 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (34496).

34468 is a wasteful number, since it uses less digits than its factorization.

34468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 34468 is about 185.6555951217. The cubic root of 34468 is about 32.5440821928.

Subtracting from 34468 its sum of digits (25), we obtain a palindrome (34443).

The spelling of 34468 in words is "thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 1231 2462 4924 8617 17234 34468