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323768340 = 22355731307
BaseRepresentation
bin10011010011000…
…101000000010100
3211120020010200000
4103103011000110
51130341041330
652043251300
711010662010
oct2323050024
9746203600
10323768340
11156838a45
1290519b30
13521004cc
1430ddd540
151d656560
hex134c5014

323768340 has 288 divisors, whose sum is σ = 1205428224. Its totient is φ = 71383680.

The previous prime is 323768329. The next prime is 323768353. The reversal of 323768340 is 43867323.

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 = 323768295 and 323768304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054467 + ... + 1054773.

Almost surely, 2323768340 is an apocalyptic number.

323768340 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 323768340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602714112).

323768340 is an abundant number, since it is smaller than the sum of its proper divisors (881659884).

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

323768340 is a wasteful number, since it uses less digits than its factorization.

323768340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 323768340 is about 17993.5638493323. The cubic root of 323768340 is about 686.6648123660.

The spelling of 323768340 in words is "three hundred twenty-three million, seven hundred sixty-eight thousand, three hundred forty".