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2353040040 = 23351317831069
BaseRepresentation
bin1000110001000000…
…1000101010101000
320001222122211010010
42030100020222220
514304334240130
61025253451520
7112211340021
oct21420105250
96058584103
102353040040
11aa825889a
12558040ba0
132b66561b0
14184717c48
15db89c0b0
hex8c408aa8

2353040040 has 256 divisors, whose sum is σ = 8153913600. Its totient is φ = 538066944.

The previous prime is 2353040021. The next prime is 2353040051. The reversal of 2353040040 is 400403532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2353039989 and 2353040016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2200626 + ... + 2201694.

It is an arithmetic number, because the mean of its divisors is an integer number (31851225).

Almost surely, 22353040040 is an apocalyptic number.

2353040040 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 2353040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076956800).

2353040040 is an abundant number, since it is smaller than the sum of its proper divisors (5800873560).

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

2353040040 is a wasteful number, since it uses less digits than its factorization.

2353040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2353040040 is about 48508.1440584981. The cubic root of 2353040040 is about 1330.0759449350.

Adding to 2353040040 its reverse (400403532), we get a palindrome (2753443572).

The spelling of 2353040040 in words is "two billion, three hundred fifty-three million, forty thousand, forty".