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34536852 = 22327314421
BaseRepresentation
bin1000001110111…
…1110110010100
32101222122122200
42003233312110
532320134402
63232124500
7566362350
oct203576624
971878580
1034536852
111854a059
12b696730
13720300c
144830460
15307321c
hex20efd94

34536852 has 72 divisors (see below), whose sum is σ = 103014912. Its totient is φ = 9547200.

The previous prime is 34536841. The next prime is 34536857. The reversal of 34536852 is 25863543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34536857) 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, 5602 + ... + 10022.

Almost surely, 234536852 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 34536852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51507456).

34536852 is an abundant number, since it is smaller than the sum of its proper divisors (68478060).

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

34536852 is a wasteful number, since it uses less digits than its factorization.

34536852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4464 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 34536852 is about 5876.8062755207. The cubic root of 34536852 is about 325.6573739768.

The spelling of 34536852 in words is "thirty-four million, five hundred thirty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 4421 7812 8842 13263 17684 26526 30947 39789 53052 61894 79578 92841 123788 137051 159156 185682 274102 278523 371364 411153 548204 557046 822306 959357 1114092 1233459 1644612 1918714 2466918 2878071 3837428 4933836 5756142 8634213 11512284 17268426 34536852