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34518564 = 2232958849
BaseRepresentation
bin1000001110101…
…1011000100100
32101221201120100
42003223120210
532314043224
63231504100
7566255133
oct203533044
971851510
1034518564
1118537343
12b688030
1371c78b2
14482791a
15306cac9
hex20eb624

34518564 has 18 divisors (see below), whose sum is σ = 87255350. Its totient is φ = 11506176.

The previous prime is 34518563. The next prime is 34518647. The reversal of 34518564 is 46581543.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 1340964 = 5760^2 + 1158^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×345185643 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 958849 = 34518564 / (3 + 4 + 5 + 1 + 8 + 5 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34518563) 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 5 ways as a sum of consecutive naturals, for example, 479389 + ... + 479460.

Almost surely, 234518564 is an apocalyptic number.

It is an amenable number.

34518564 is an abundant number, since it is smaller than the sum of its proper divisors (52736786).

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

34518564 is a wasteful number, since it uses less digits than its factorization.

34518564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958859 (or 958854 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 34518564 is about 5875.2501223352. The cubic root of 34518564 is about 325.5998829855.

The spelling of 34518564 in words is "thirty-four million, five hundred eighteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 958849 1917698 2876547 3835396 5753094 8629641 11506188 17259282 34518564