Search a number
-
+
320503680 = 2732577949
BaseRepresentation
bin10011000110100…
…111111110000000
3211100002021101200
4103012213332000
51124022104210
651445301200
710641144030
oct2306477600
9740067350
10320503680
11154a09182
128b404800
1351529563
14307cd8c0
151d20e0c0
hex131a7f80

320503680 has 192 divisors, whose sum is σ = 1265004000. Its totient is φ = 73248768.

The previous prime is 320503649. The next prime is 320503693. The reversal of 320503680 is 86305023.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36346 + ... + 44294.

Almost surely, 2320503680 is an apocalyptic number.

320503680 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 320503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632502000).

320503680 is an abundant number, since it is smaller than the sum of its proper divisors (944500320).

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

320503680 is a wasteful number, since it uses less digits than its factorization.

320503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 320503680 is about 17902.6165685354. The cubic root of 320503680 is about 684.3490575016.

The spelling of 320503680 in words is "three hundred twenty million, five hundred three thousand, six hundred eighty".