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34112430 = 23251134457
BaseRepresentation
bin1000001000100…
…0001110101110
32101012002110100
42002020032232
532213044210
63215051530
7562644102
oct202101656
971162410
1034112430
111828a1a0
12b510ba6
1370b4a91
14475d902
152edc5c0
hex20883ae

34112430 has 48 divisors (see below), whose sum is σ = 96758064. Its totient is φ = 8269440.

The previous prime is 34112417. The next prime is 34112453. The reversal of 34112430 is 3421143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16239 + ... + 18218.

It is an arithmetic number, because the mean of its divisors is an integer number (2015793).

Almost surely, 234112430 is an apocalyptic number.

34112430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34112430 is an abundant number, since it is smaller than the sum of its proper divisors (62645634).

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

34112430 is a wasteful number, since it uses less digits than its factorization.

34112430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34481 (or 34478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34112430 is about 5840.5847310008. The cubic root of 34112430 is about 324.3178750463.

Adding to 34112430 its reverse (3421143), we get a palindrome (37533573).

The spelling of 34112430 in words is "thirty-four million, one hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 34457 68914 103371 172285 206742 310113 344570 379027 516855 620226 758054 1033710 1137081 1550565 1895135 2274162 3101130 3411243 3790270 5685405 6822486 11370810 17056215 34112430