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34564320 = 253557127

34564320 has 288 divisors, whose sum is σ = 140894208. Its totient is φ = 7838208.

The previous prime is 34564319. The next prime is 34564333. The reversal of 34564320 is 2346543.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 272097 + ... + 272223.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 234564320 is an apocalyptic number.

34564320 is a gapful number since it is divisible by the number (30) 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 34564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

34564320 is an abundant number, since it is smaller than the sum of its proper divisors (106329888).

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

34564320 is a wasteful number, since it uses less digits than its factorization.

34564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34564320 is about 5879.1427946598. The cubic root of 34564320 is about 325.7436855140.

It can be divided in two parts, 3456 and 4320, that added together give a 5-th power (7776 = 65).

The spelling of 34564320 in words is "thirty-four million, five hundred sixty-four thousand, three hundred twenty".