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323948940 = 223571759769
BaseRepresentation
bin10011010011110…
…001000110001100
3211120120022101220
4103103301012030
51130412331230
652051203340
711012343360
oct2323610614
9746508356
10323948940
111569516a7
12905a6550
1352164783
14310492a0
151d68ed10
hex134f118c

323948940 has 192 divisors, whose sum is σ = 1117670400. Its totient is φ = 68419584.

The previous prime is 323948929. The next prime is 323948941. The reversal of 323948940 is 49849323.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 323948892 and 323948901.

It is not an unprimeable number, because it can be changed into a prime (323948941) 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 63 ways as a sum of consecutive naturals, for example, 420876 + ... + 421644.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2323948940 is an apocalyptic number.

323948940 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 323948940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

323948940 is an abundant number, since it is smaller than the sum of its proper divisors (793721460).

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

323948940 is a wasteful number, since it uses less digits than its factorization.

323948940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 323948940 is about 17998.5816107826. The cubic root of 323948940 is about 686.7924639395.

The spelling of 323948940 in words is "three hundred twenty-three million, nine hundred forty-eight thousand, nine hundred forty".