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34545564 = 223217471201
BaseRepresentation
bin1000001111000…
…1111110011100
32102000002121100
42003301332130
532320424224
63232233100
7566426634
oct203617634
972002540
1034545564
1118555659
12b69b790
137206c81
1448336c4
153075ac9
hex20f1f9c

34545564 has 72 divisors (see below), whose sum is σ = 94506048. Its totient is φ = 10598400.

The previous prime is 34545551. The next prime is 34545587. The reversal of 34545564 is 46554543.

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

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, 28164 + ... + 29364.

It is an arithmetic number, because the mean of its divisors is an integer number (1312584).

Almost surely, 234545564 is an apocalyptic number.

34545564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34545564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47253024).

34545564 is an abundant number, since it is smaller than the sum of its proper divisors (59960484).

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

34545564 is a wasteful number, since it uses less digits than its factorization.

34545564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1270 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 34545564 is about 5877.5474477030. The cubic root of 34545564 is about 325.6847542807.

The spelling of 34545564 in words is "thirty-four million, five hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 564 612 799 846 1201 1598 1692 2397 2402 3196 3603 4794 4804 7191 7206 9588 10809 14382 14412 20417 21618 28764 40834 43236 56447 61251 81668 112894 122502 169341 183753 225788 245004 338682 367506 508023 677364 735012 959599 1016046 1919198 2032092 2878797 3838396 5757594 8636391 11515188 17272782 34545564