Search a number
-
+
326803680 = 253357101107
BaseRepresentation
bin10011011110101…
…010000011100000
3211202221100101000
4103132222003200
51132130204210
652232312000
711045533260
oct2336520340
9752840330
10326803680
11158521495
1291542600
1352923c78
143158d7a0
151da55ac0
hex137aa0e0

326803680 has 384 divisors, whose sum is σ = 1332495360. Its totient is φ = 73267200.

The previous prime is 326803669. The next prime is 326803693. The reversal of 326803680 is 86308623.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3054187 + ... + 3054293.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2326803680 is an apocalyptic number.

326803680 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 326803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666247680).

326803680 is an abundant number, since it is smaller than the sum of its proper divisors (1005691680).

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

326803680 is a wasteful number, since it uses less digits than its factorization.

326803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 326803680 is about 18077.7122446398. The cubic root of 326803680 is about 688.8039772015.

The spelling of 326803680 in words is "three hundred twenty-six million, eight hundred three thousand, six hundred eighty".