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34564152 = 2337233883
BaseRepresentation
bin1000001111011…
…0100000111000
32102001001002210
42003312200320
532322023102
63232455120
7566535060
oct203664070
972031083
1034564152
1118568617
12b6aa4a0
13721257c
14483a3a0
15307b36c
hex20f6838

34564152 has 64 divisors (see below), whose sum is σ = 99290880. Its totient is φ = 9821952.

The previous prime is 34564151. The next prime is 34564169. The reversal of 34564152 is 25146543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34564151) 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 15 ways as a sum of consecutive naturals, for example, 38703 + ... + 39585.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420).

Almost surely, 234564152 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 34564152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49645440).

34564152 is an abundant number, since it is smaller than the sum of its proper divisors (64726728).

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

34564152 is a wasteful number, since it uses less digits than its factorization.

34564152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 34564152 is about 5879.1285068452. The cubic root of 34564152 is about 325.7431577537.

It can be divided in two parts, 34564 and 152, that added together give a triangular number (34716 = T263).

The spelling of 34564152 in words is "thirty-four million, five hundred sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 883 932 1398 1631 1766 1864 2649 2796 3262 3532 4893 5298 5592 6181 6524 7064 9786 10596 12362 13048 18543 19572 21192 24724 37086 39144 49448 74172 148344 205739 411478 617217 822956 1234434 1440173 1645912 2468868 2880346 4320519 4937736 5760692 8641038 11521384 17282076 34564152