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564734430 = 23651359101
BaseRepresentation
bin100001101010010…
…010100111011110
31110100122111000000
4201222102213132
52124033000210
6132012115130
716665110031
oct4152224736
91410574000
10564734430
1126a861377
12139165aa6
138cccbcb0
1455007018
15348a3ac0
hex21a929de

564734430 has 224 divisors, whose sum is σ = 1685668320. Its totient is φ = 135302400.

The previous prime is 564734419. The next prime is 564734431. The reversal of 564734430 is 34437465.

It is a happy number.

564734430 is a `hidden beast` number, since 5 + 647 + 3 + 4 + 4 + 3 + 0 = 666.

564734430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564734431) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5591380 + ... + 5591480.

It is an arithmetic number, because the mean of its divisors is an integer number (7525305).

Almost surely, 2564734430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564734430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842834160).

564734430 is an abundant number, since it is smaller than the sum of its proper divisors (1120933890).

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

564734430 is a wasteful number, since it uses less digits than its factorization.

564734430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 564734430 is about 23764.1416844792. The cubic root of 564734430 is about 826.5733940970.

The spelling of 564734430 in words is "five hundred sixty-four million, seven hundred thirty-four thousand, four hundred thirty".