Search a number
-
+
325648400 = 245271197109
BaseRepresentation
bin10011011010010…
…000000000010000
3211200202122121212
4103122100000100
51131331222100
652151435252
711032652150
oct2332200020
9750678555
10325648400
11157902510
1291085b28
135260b17c
143136c760
151d8c8635
hex13690010

325648400 has 240 divisors, whose sum is σ = 994519680. Its totient is φ = 99532800.

The previous prime is 325648361. The next prime is 325648423. The reversal of 325648400 is 4846523.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2987546 + ... + 2987654.

It is an arithmetic number, because the mean of its divisors is an integer number (4143832).

Almost surely, 2325648400 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 325648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497259840).

325648400 is an abundant number, since it is smaller than the sum of its proper divisors (668871280).

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

325648400 is a wasteful number, since it uses less digits than its factorization.

325648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 325648400 is about 18045.7307970611. The cubic root of 325648400 is about 687.9913578327.

The spelling of 325648400 in words is "three hundred twenty-five million, six hundred forty-eight thousand, four hundred".