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34404 = 2234761
BaseRepresentation
bin1000011001100100
31202012020
420121210
52100104
6423140
7202206
oct103144
952166
1034404
1123937
1217ab0
1312876
14c776
15a2d9
hex8664

34404 has 24 divisors (see below), whose sum is σ = 83328. Its totient is φ = 11040.

The previous prime is 34403. The next prime is 34421. The reversal of 34404 is 40443.

It is a nialpdrome in base 14 and base 16.

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 34404.

It is not an unprimeable number, because it can be changed into a prime (34403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

234404 is an apocalyptic number.

It is an amenable number.

34404 is an abundant number, since it is smaller than the sum of its proper divisors (48924).

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 (41664).

34404 is a wasteful number, since it uses less digits than its factorization.

34404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34404 is about 185.4831528738. The cubic root of 34404 is about 32.5239271532.

Adding to 34404 its product of nonzero digits (192), we get a square (34596 = 1862).

Adding to 34404 its reverse (40443), we get a palindrome (74847).

The spelling of 34404 in words is "thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 47 61 94 122 141 183 188 244 282 366 564 732 2867 5734 8601 11468 17202 34404