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326717664 = 253713149251
BaseRepresentation
bin10011011110010…
…101000011100000
3211202202222101020
4103132111003200
51132114431124
652230405440
711045024430
oct2336250340
9752688336
10326717664
111584728a9
1291500880
13528c3a80
143156a2c0
151da3a379
hex137950e0

326717664 has 192 divisors, whose sum is σ = 1066867200. Its totient is φ = 85248000.

The previous prime is 326717663. The next prime is 326717681. The reversal of 326717664 is 466717623.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326717663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1301539 + ... + 1301789.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2326717664 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 326717664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533433600).

326717664 is an abundant number, since it is smaller than the sum of its proper divisors (740149536).

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

326717664 is a wasteful number, since it uses less digits than its factorization.

326717664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 326717664 is about 18075.3330259777. Note that the first 3 decimals coincide. The cubic root of 326717664 is about 688.7435399365.

The spelling of 326717664 in words is "three hundred twenty-six million, seven hundred seventeen thousand, six hundred sixty-four".