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34989372 = 223211149593
BaseRepresentation
bin1000010101111…
…0010100111100
32102211122101200
42011132110330
532424124442
63245535500
7603255555
oct205362474
972748350
1034989372
1118829040
12b874590
137330c92
14490b32c
15311234c
hex215e53c

34989372 has 72 divisors (see below), whose sum is σ = 97297200. Its totient is φ = 10513920.

The previous prime is 34989323. The next prime is 34989379. The reversal of 34989372 is 27398943.

It is a happy number.

34989372 is a `hidden beast` number, since 3 + 498 + 93 + 72 = 666.

34989372 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 (34989379) 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 23 ways as a sum of consecutive naturals, for example, 58708 + ... + 59300.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 234989372 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 34989372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48648600).

34989372 is an abundant number, since it is smaller than the sum of its proper divisors (62307828).

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

34989372 is a wasteful number, since it uses less digits than its factorization.

34989372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 758 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 34989372 is about 5915.1814849589. The cubic root of 34989372 is about 327.0735182453.

The spelling of 34989372 in words is "thirty-four million, nine hundred eighty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 298 396 447 593 596 894 1186 1341 1639 1779 1788 2372 2682 3278 3558 4917 5337 5364 6523 6556 7116 9834 10674 13046 14751 19569 19668 21348 26092 29502 39138 58707 59004 78276 88357 117414 176714 234828 265071 353428 530142 795213 971927 1060284 1590426 1943854 2915781 3180852 3887708 5831562 8747343 11663124 17494686 34989372