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2327351040 = 28325731931
BaseRepresentation
bin1000101010111000…
…1000111100000000
320000012022200102200
42022232020330000
514231300213130
61022535113200
7111450105000
oct21256107400
96005280380
102327351040
11a94802313
1254b512800
132b12304c1
1418114c000
15d94c5760
hex8ab88f00

2327351040 has 864 divisors, whose sum is σ = 10203648000. Its totient is φ = 487710720.

The previous prime is 2327351027. The next prime is 2327351069. The reversal of 2327351040 is 401537232.

It is a junction number, because it is equal to n+sod(n) for n = 2327350995 and 2327351013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75075825 + ... + 75075855.

Almost surely, 22327351040 is an apocalyptic number.

2327351040 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 2327351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101824000).

2327351040 is an abundant number, since it is smaller than the sum of its proper divisors (7876296960).

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

2327351040 is a wasteful number, since it uses less digits than its factorization.

2327351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2327351040 is about 48242.6267941537. The cubic root of 2327351040 is about 1325.2179140820.

Adding to 2327351040 its reverse (401537232), we get a palindrome (2728888272).

The spelling of 2327351040 in words is "two billion, three hundred twenty-seven million, three hundred fifty-one thousand, forty".