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323324064 = 253271923367
BaseRepresentation
bin10011010001011…
…000100010100000
3211112101120020100
4103101120202200
51130232332224
652025542400
711004131520
oct2321304240
9745346210
10323324064
11156565178
1290344a00
1351ca621b
1430d25680
151d5b9ac9
hex134588a0

323324064 has 288 divisors, whose sum is σ = 1157345280. Its totient is φ = 83483136.

The previous prime is 323324063. The next prime is 323324117. The reversal of 323324064 is 460423323.

It is a happy number.

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

It is a super-2 number, since 2×3233240642 = 209076900722952192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323324063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880809 + ... + 881175.

It is an arithmetic number, because the mean of its divisors is an integer number (4018560).

Almost surely, 2323324064 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 323324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578672640).

323324064 is an abundant number, since it is smaller than the sum of its proper divisors (834021216).

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

323324064 is a wasteful number, since it uses less digits than its factorization.

323324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 323324064 is about 17981.2141970446. The cubic root of 323324064 is about 686.3505873439.

Adding to 323324064 its reverse (460423323), we get a palindrome (783747387).

The spelling of 323324064 in words is "three hundred twenty-three million, three hundred twenty-four thousand, sixty-four".