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34912872 = 23321014801
BaseRepresentation
bin1000010100101…
…1101001101000
32102200202110100
42011023221220
532414202442
63244145400
7602516541
oct205135150
972622410
1034912872
1118786615
12b838260
137305207
1448cb4c8
1530e984c
hex214ba68

34912872 has 48 divisors (see below), whose sum is σ = 95511780. Its totient is φ = 11520000.

The previous prime is 34912811. The next prime is 34912879. The reversal of 34912872 is 27821943.

It can be written as a sum of positive squares in 2 ways, for example, as 31203396 + 3709476 = 5586^2 + 1926^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34912879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4872 + ... + 9672.

Almost surely, 234912872 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 34912872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47755890).

34912872 is an abundant number, since it is smaller than the sum of its proper divisors (60598908).

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

34912872 is a wasteful number, since it uses less digits than its factorization.

34912872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4907 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34912872 is about 5908.7115346749. The cubic root of 34912872 is about 326.8349755097.

The spelling of 34912872 in words is "thirty-four million, nine hundred twelve thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 4801 7272 9602 14403 19204 28806 38408 43209 57612 86418 115224 172836 345672 484901 969802 1454703 1939604 2909406 3879208 4364109 5818812 8728218 11637624 17456436 34912872