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323431680 = 283511131931
BaseRepresentation
bin10011010001110…
…010110100000000
3211112121000212010
4103101302310000
51130244303210
652032132520
711005060335
oct2321626400
9745530763
10323431680
11156629010
1290397140
13520131c0
1430d5298c
151d5db920
hex13472d00

323431680 has 576 divisors, whose sum is σ = 1318625280. Its totient is φ = 66355200.

The previous prime is 323431663. The next prime is 323431697. The reversal of 323431680 is 86134323.

It is an interprime number because it is at equal distance from previous prime (323431663) and next prime (323431697).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10433265 + ... + 10433295.

It is an arithmetic number, because the mean of its divisors is an integer number (2289280).

Almost surely, 2323431680 is an apocalyptic number.

323431680 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 323431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

323431680 is an abundant number, since it is smaller than the sum of its proper divisors (995193600).

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

323431680 is a wasteful number, since it uses less digits than its factorization.

323431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 323431680 is about 17984.2064045095. The cubic root of 323431680 is about 686.4267277860.

The spelling of 323431680 in words is "three hundred twenty-three million, four hundred thirty-one thousand, six hundred eighty".