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2453368320 = 29325138191
BaseRepresentation
bin1001001000111011…
…0110111000000000
320022222110000122100
42102032312320000
520011030241240
61043240110400
7114540200214
oct22216667000
96288400570
102453368320
111049953a27
12585765400
13301383240
14193b92944
15e55b8e30
hex923b6e00

2453368320 has 240 divisors, whose sum is σ = 9151414272. Its totient is φ = 603832320.

The previous prime is 2453368289. The next prime is 2453368321. The reversal of 2453368320 is 238633542.

It is a happy number.

2453368320 is a `hidden beast` number, since 24 + 533 + 6 + 83 + 20 = 666.

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

It is a super-2 number, since 2×24533683202 = 12038032227159244800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2453368321) 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 23 ways as a sum of consecutive naturals, for example, 295425 + ... + 303615.

Almost surely, 22453368320 is an apocalyptic number.

2453368320 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 2453368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575707136).

2453368320 is an abundant number, since it is smaller than the sum of its proper divisors (6698045952).

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

2453368320 is a wasteful number, since it uses less digits than its factorization.

2453368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2453368320 is about 49531.4881666198. The cubic root of 2453368320 is about 1348.7172671653.

The spelling of 2453368320 in words is "two billion, four hundred fifty-three million, three hundred sixty-eight thousand, three hundred twenty".