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326348064 = 25327161879
BaseRepresentation
bin10011011100111…
…010110100100000
3211202002012101100
4103130322310200
51132021114224
652214434400
711041625040
oct2334726440
9752065340
10326348064
11158240149
1291362a00
13527c4783
14314b1720
151d9b5ac9
hex1373ad20

326348064 has 72 divisors (see below), whose sum is σ = 1060637760. Its totient is φ = 93241728.

The previous prime is 326348059. The next prime is 326348093. The reversal of 326348064 is 460843623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78924 + ... + 82955.

It is an arithmetic number, because the mean of its divisors is an integer number (14731080).

Almost surely, 2326348064 is an apocalyptic number.

It is an amenable number.

326348064 is an abundant number, since it is smaller than the sum of its proper divisors (734289696).

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

326348064 is a wasteful number, since it uses less digits than its factorization.

326348064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161902 (or 161891 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 326348064 is about 18065.1062548771. The cubic root of 326348064 is about 688.4837277795.

The spelling of 326348064 in words is "three hundred twenty-six million, three hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 161879 323758 485637 647516 971274 1133153 1295032 1456911 1942548 2266306 2590064 2913822 3399459 3885096 4532612 5180128 5827644 6798918 7770192 9065224 10198377 11655288 13597836 15540384 18130448 20396754 23310576 27195672 36260896 40793508 46621152 54391344 81587016 108782688 163174032 326348064