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2311942320 = 2432589109331
BaseRepresentation
bin1000100111001101…
…0111000010110000
312222010022211122100
42021303113002300
514213324123240
61021224540400
7111202120422
oct21163270260
95863284570
102311942320
11a87038536
12546321700
132aac96b0c
1417d09a812
15d7e7ee30
hex89cd70b0

2311942320 has 240 divisors, whose sum is σ = 7947482400. Its totient is φ = 602173440.

The previous prime is 2311942301. The next prime is 2311942333. The reversal of 2311942320 is 232491132.

It is a happy number.

2311942320 is a `hidden beast` number, since 231 + 1 + 9 + 423 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6984555 + ... + 6984885.

It is an arithmetic number, because the mean of its divisors is an integer number (33114510).

Almost surely, 22311942320 is an apocalyptic number.

2311942320 is a gapful number since it is divisible by the number (20) 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 2311942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973741200).

2311942320 is an abundant number, since it is smaller than the sum of its proper divisors (5635540080).

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

2311942320 is a wasteful number, since it uses less digits than its factorization.

2311942320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2311942320 is about 48082.6613240157. The cubic root of 2311942320 is about 1322.2868073289.

The spelling of 2311942320 in words is "two billion, three hundred eleven million, nine hundred forty-two thousand, three hundred twenty".