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34130424 = 2331783653
BaseRepresentation
bin1000001000110…
…0100111111000
32101020000010210
42002030213320
532214133144
63215311120
7563050416
oct202144770
971200123
1034130424
11182a1769
12b51b4a0
1370c0023
1447662b6
152ee2ab9
hex208c9f8

34130424 has 32 divisors (see below), whose sum is σ = 90346320. Its totient is φ = 10707456.

The previous prime is 34130423. The next prime is 34130429. The reversal of 34130424 is 42403143.

It is a self number, because there is not a number n which added to its sum of digits gives 34130424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41419 + ... + 42234.

Almost surely, 234130424 is an apocalyptic number.

34130424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34130424 is an abundant number, since it is smaller than the sum of its proper divisors (56215896).

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

34130424 is a wasteful number, since it uses less digits than its factorization.

34130424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83679 (or 83675 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34130424 is about 5842.1249558701. The cubic root of 34130424 is about 324.3748899432.

Adding to 34130424 its reverse (42403143), we get a palindrome (76533567).

The spelling of 34130424 in words is "thirty-four million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 83653 167306 250959 334612 501918 669224 1003836 1422101 2007672 2844202 4266303 5688404 8532606 11376808 17065212 34130424