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324331072 = 2613457853
BaseRepresentation
bin10011010101001…
…110011001000000
3211121021201120221
4103111032121000
51131012043242
652103312424
711015524432
oct2325163100
9747251527
10324331072
1115709280a
129074b714
13522696a0
1431108652
151d718167
hex1354e640

324331072 has 56 divisors (see below), whose sum is σ = 695432696. Its totient is φ = 149188608.

The previous prime is 324331031. The next prime is 324331081. The reversal of 324331072 is 270133423.

It can be written as a sum of positive squares in 4 ways, for example, as 5494336 + 318836736 = 2344^2 + 17856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379798 + ... + 380650.

It is an arithmetic number, because the mean of its divisors is an integer number (12418441).

Almost surely, 2324331072 is an apocalyptic number.

324331072 is a gapful number since it is divisible by the number (32) 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 324331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347716348).

324331072 is an abundant number, since it is smaller than the sum of its proper divisors (371101624).

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

324331072 is a wasteful number, since it uses less digits than its factorization.

324331072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 324331072 is about 18009.1940963498. The cubic root of 324331072 is about 687.0624059159.

Adding to 324331072 its reverse (270133423), we get a palindrome (594464495).

The spelling of 324331072 in words is "three hundred twenty-four million, three hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 457 832 853 914 1706 1828 3412 3656 5941 6824 7312 11089 11882 13648 14624 22178 23764 27296 29248 44356 47528 54592 88712 95056 177424 190112 354848 380224 389821 709696 779642 1559284 3118568 5067673 6237136 10135346 12474272 20270692 24948544 40541384 81082768 162165536 324331072