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2368031328 = 253313434903
BaseRepresentation
bin1000110100100101…
…0100101001100000
320010000212110022000
42031021110221200
514322204000303
61030551044000
7112452635265
oct21511245140
96100773260
102368031328
111005767a93
12561070600
132b97a4890
141866db26c
15dcd5dda3
hex8d254a60

2368031328 has 192 divisors, whose sum is σ = 7612577280. Its totient is φ = 711535104.

The previous prime is 2368031321. The next prime is 2368031329. The reversal of 2368031328 is 8231308632.

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

It is a junction number, because it is equal to n+sod(n) for n = 2368031292 and 2368031301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2368031321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480525 + ... + 485427.

It is an arithmetic number, because the mean of its divisors is an integer number (39648840).

Almost surely, 22368031328 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 2368031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806288640).

2368031328 is an abundant number, since it is smaller than the sum of its proper divisors (5244545952).

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

2368031328 is a wasteful number, since it uses less digits than its factorization.

2368031328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2368031328 is about 48662.4221345383. The cubic root of 2368031328 is about 1332.8946185517.

The spelling of 2368031328 in words is "two billion, three hundred sixty-eight million, thirty-one thousand, three hundred twenty-eight".