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34929864 = 2332485137
BaseRepresentation
bin1000010100111…
…1110011001000
32102201121202200
42011033303020
532420223424
63244400200
7602620224
oct205176310
972647680
1034929864
1118798362
12b846060
13730cb78
1448d3784
1530ee8c9
hex214fcc8

34929864 has 24 divisors (see below), whose sum is σ = 94601910. Its totient is φ = 11643264.

The previous prime is 34929863. The next prime is 34929871. The reversal of 34929864 is 46892943.

It can be written as a sum of positive squares in only one way, i.e., 34928100 + 1764 = 5910^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34929863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 242497 + ... + 242640.

Almost surely, 234929864 is an apocalyptic number.

It is an amenable number.

34929864 is an abundant number, since it is smaller than the sum of its proper divisors (59672046).

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

34929864 is a wasteful number, since it uses less digits than its factorization.

34929864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485149 (or 485142 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 34929864 is about 5910.1492366945. The cubic root of 34929864 is about 326.8879901417.

The spelling of 34929864 in words is "thirty-four million, nine hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 485137 970274 1455411 1940548 2910822 3881096 4366233 5821644 8732466 11643288 17464932 34929864