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323389440 = 21132511229
BaseRepresentation
bin10011010001101…
…000100000000000
3211112111212220200
4103101220200000
51130241430230
652031205200
711004523233
oct2321504000
9745455820
10323389440
111565aa300
1290376800
1351cc9bca
1430d4141a
151d5ce160
hex13468800

323389440 has 432 divisors, whose sum is σ = 1274445900. Its totient is φ = 75694080.

The previous prime is 323389399. The next prime is 323389441. The reversal of 323389440 is 44983323.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 322274304 + 1115136 = 17952^2 + 1056^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 323389395 and 323389404.

It is not an unprimeable number, because it can be changed into a prime (323389441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11151346 + ... + 11151374.

Almost surely, 2323389440 is an apocalyptic number.

323389440 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 323389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637222950).

323389440 is an abundant number, since it is smaller than the sum of its proper divisors (951056460).

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

323389440 is a wasteful number, since it uses less digits than its factorization.

323389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 323389440 is about 17983.0320024183. The cubic root of 323389440 is about 686.3968441670.

The spelling of 323389440 in words is "three hundred twenty-three million, three hundred eighty-nine thousand, four hundred forty".