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34130124 = 22327167811
BaseRepresentation
bin1000001000110…
…0100011001100
32101012222201200
42002030203030
532214130444
63215305500
7563046510
oct202144314
971188650
1034130124
11182a1516
12b51b290
1370bcb52
144766140
152ee2969
hex208c8cc

34130124 has 72 divisors (see below), whose sum is σ = 99310848. Its totient is φ = 9681120.

The previous prime is 34130123. The next prime is 34130141. The reversal of 34130124 is 42103143.

34130124 is a `hidden beast` number, since 341 + 301 + 24 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34130097 and 34130106.

It is not an unprimeable number, because it can be changed into a prime (34130123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41679 + ... + 42489.

Almost surely, 234130124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49655424).

34130124 is an abundant number, since it is smaller than the sum of its proper divisors (65180724).

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

34130124 is a wasteful number, since it uses less digits than its factorization.

34130124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

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

The square root of 34130124 is about 5842.0992802245. The cubic root of 34130124 is about 324.3739395423.

Adding to 34130124 its reverse (42103143), we get a palindrome (76233267).

The spelling of 34130124 in words is "thirty-four million, one hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 167 252 334 501 668 811 1002 1169 1503 1622 2004 2338 2433 3006 3244 3507 4676 4866 5677 6012 7014 7299 9732 10521 11354 14028 14598 17031 21042 22708 29196 34062 42084 51093 68124 102186 135437 204372 270874 406311 541748 812622 948059 1218933 1625244 1896118 2437866 2844177 3792236 4875732 5688354 8532531 11376708 17065062 34130124