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2313381924 = 2233724771131
BaseRepresentation
bin1000100111100011…
…0110100000100100
312222020000222102000
42021320312200210
514214211210144
61021315445300
7111220264500
oct21170664044
95866028360
102313381924
11a87931097
125468b6830
132ab37c159
1417d353300
15d8166769
hex89e36824

2313381924 has 288 divisors, whose sum is σ = 7280824320. Its totient is φ = 632923200.

The previous prime is 2313381919. The next prime is 2313381943. The reversal of 2313381924 is 4291833132.

2313381924 is a `hidden beast` number, since 231 + 338 + 1 + 92 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17659339 + ... + 17659469.

It is an arithmetic number, because the mean of its divisors is an integer number (25280640).

Almost surely, 22313381924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313381924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640412160).

2313381924 is an abundant number, since it is smaller than the sum of its proper divisors (4967442396).

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

2313381924 is a wasteful number, since it uses less digits than its factorization.

2313381924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2313381924 is about 48097.6290891765. The cubic root of 2313381924 is about 1322.5612049485.

The spelling of 2313381924 in words is "two billion, three hundred thirteen million, three hundred eighty-one thousand, nine hundred twenty-four".