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34343604 = 22321723301
BaseRepresentation
bin1000001100000…
…0101010110100
32101121211120100
42003000222310
532242443404
63224034100
7564626061
oct203005264
971554510
1034343604
1118427949
12b602930
137166079
1447bdc68
153035d39
hex20c0ab4

34343604 has 54 divisors (see below), whose sum is σ = 92247974. Its totient is φ = 10771200.

The previous prime is 34343581. The next prime is 34343633. The reversal of 34343604 is 40634343.

It can be written as a sum of positive squares in 3 ways, for example, as 8820900 + 25522704 = 2970^2 + 5052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8754 + ... + 12054.

Almost surely, 234343604 is an apocalyptic number.

34343604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34343604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46123987).

34343604 is an abundant number, since it is smaller than the sum of its proper divisors (57904370).

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

34343604 is a wasteful number, since it uses less digits than its factorization.

34343604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 34343604 is about 5860.3416282671. The cubic root of 34343604 is about 325.0488415748.

Adding to 34343604 its reverse (40634343), we get a palindrome (74977947).

The spelling of 34343604 in words is "thirty-four million, three hundred forty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3301 3468 5202 6602 9903 10404 13204 19806 29709 39612 56117 59418 112234 118836 168351 224468 336702 505053 673404 953989 1010106 1907978 2020212 2861967 3815956 5723934 8585901 11447868 17171802 34343604