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326380320 = 25335743251
BaseRepresentation
bin10011011101000…
…010101100100000
3211202010211122000
4103131002230200
51132023132240
652215244000
711042121060
oct2335025440
9752124560
10326380320
11158262402
1291379600
1352806366
14314bd3a0
151d9c0430
hex13742b20

326380320 has 384 divisors, whose sum is σ = 1341204480. Its totient is φ = 72576000.

The previous prime is 326380303. The next prime is 326380321. The reversal of 326380320 is 23083623.

326380320 is a `hidden beast` number, since 3 + 2 + 638 + 0 + 3 + 20 = 666.

326380320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3263803202 = 213048226566604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326380321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1300195 + ... + 1300445.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2326380320 is an apocalyptic number.

326380320 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 326380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

326380320 is an abundant number, since it is smaller than the sum of its proper divisors (1014824160).

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

326380320 is a wasteful number, since it uses less digits than its factorization.

326380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 326380320 is about 18065.9990036532. Note that the first 3 decimals coincide. The cubic root of 326380320 is about 688.5064101055.

The spelling of 326380320 in words is "three hundred twenty-six million, three hundred eighty thousand, three hundred twenty".