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323312640 = 2103573197
BaseRepresentation
bin10011010001010…
…101110000000000
3211112100222120020
4103101111300000
51130232001030
652025413440
711004053310
oct2321256000
9745328506
10323312640
11156557632
129033a280
1351ca0c71
1430d21440
151d5b6510
hex13455c00

323312640 has 352 divisors, whose sum is σ = 1232523264. Its totient is φ = 70778880.

The previous prime is 323312621. The next prime is 323312641. The reversal of 323312640 is 46213323.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 323312640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323312641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3333072 + ... + 3333168.

Almost surely, 2323312640 is an apocalyptic number.

323312640 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 323312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616261632).

323312640 is an abundant number, since it is smaller than the sum of its proper divisors (909210624).

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

323312640 is a wasteful number, since it uses less digits than its factorization.

323312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 323312640 is about 17980.8965293725. The cubic root of 323312640 is about 686.3425036467.

Adding to 323312640 its reverse (46213323), we get a palindrome (369525963).

The spelling of 323312640 in words is "three hundred twenty-three million, three hundred twelve thousand, six hundred forty".