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34940412 = 22321325743
BaseRepresentation
bin1000010101001…
…0010111111100
32102202011020100
42011102113330
532421043122
63244521100
7602663043
oct205222774
972664210
1034940412
11187a5281
12b850190
137314900
1448d755a
153102aac
hex21525fc

34940412 has 54 divisors (see below), whose sum is σ = 95654832. Its totient is φ = 10749024.

The previous prime is 34940407. The next prime is 34940413. The reversal of 34940412 is 21404943.

34940412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34940413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3213 + ... + 8955.

Almost surely, 234940412 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 34940412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47827416).

34940412 is an abundant number, since it is smaller than the sum of its proper divisors (60714420).

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

34940412 is a wasteful number, since it uses less digits than its factorization.

34940412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34940412 is about 5911.0415325897. The cubic root of 34940412 is about 326.9208909998.

The spelling of 34940412 in words is "thirty-four million, nine hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 5743 6084 11486 17229 22972 34458 51687 68916 74659 103374 149318 206748 223977 298636 447954 671931 895908 970567 1343862 1941134 2687724 2911701 3882268 5823402 8735103 11646804 17470206 34940412