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34652052 = 223217411381
BaseRepresentation
bin1000010000101…
…1111110010100
32102012111200100
42010023332110
532332331202
63234414100
7600352251
oct204137624
972174610
1034652052
1118618666
12b731330
137243596
144860428
15309741c
hex210bf94

34652052 has 72 divisors (see below), whose sum is σ = 95076072. Its totient is φ = 10598400.

The previous prime is 34652041. The next prime is 34652119. The reversal of 34652052 is 25025643.

34652052 is a `hidden beast` number, since 3 + 4 + 652 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1887876 + 32764176 = 1374^2 + 5724^2 .

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, 24402 + ... + 25782.

It is an arithmetic number, because the mean of its divisors is an integer number (1320501).

Almost surely, 234652052 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 34652052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47538036).

34652052 is an abundant number, since it is smaller than the sum of its proper divisors (60424020).

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

34652052 is a wasteful number, since it uses less digits than its factorization.

34652052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 34652052 is about 5886.5993578636. The cubic root of 34652052 is about 326.0190561834.

Adding to 34652052 its reverse (25025643), we get a palindrome (59677695).

The spelling of 34652052 in words is "thirty-four million, six hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1381 1394 1476 2091 2762 2788 4143 4182 5524 6273 8286 8364 12429 12546 16572 23477 24858 25092 46954 49716 56621 70431 93908 113242 140862 169863 211293 226484 281724 339726 422586 509589 679452 845172 962557 1019178 1925114 2038356 2887671 3850228 5775342 8663013 11550684 17326026 34652052