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2313423360 = 29325314179
BaseRepresentation
bin1000100111100100…
…0000101000000000
312222020010002020200
42021321000220000
514214214021420
61021320405200
7111220526343
oct21171005000
95866102220
102313423360
11a8795a236
12546916800
132ab394c81
1417d36445a
15d8173b90
hex89e40a00

2313423360 has 480 divisors, whose sum is σ = 8579450880. Its totient is φ = 575078400.

The previous prime is 2313423313. The next prime is 2313423361. The reversal of 2313423360 is 633243132.

It is a happy number.

2313423360 is a `hidden beast` number, since 231 + 3 + 423 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313423361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29283801 + ... + 29283879.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 22313423360 is an apocalyptic number.

2313423360 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 2313423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2313423360 is an abundant number, since it is smaller than the sum of its proper divisors (6266027520).

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

2313423360 is a wasteful number, since it uses less digits than its factorization.

2313423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2313423360 is about 48098.0598361306. The cubic root of 2313423360 is about 1322.5691012263.

Adding to 2313423360 its reverse (633243132), we get a palindrome (2946666492).

The spelling of 2313423360 in words is "two billion, three hundred thirteen million, four hundred twenty-three thousand, three hundred sixty".