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2040304032 = 253313373487
BaseRepresentation
bin111100110011100…
…1001000110100000
312021012012011222000
41321213021012200
513134304212112
6534242444000
7101363204154
oct17147110640
95235164860
102040304032
11957775688
1248b363600
132669193c0
14154d8b064
15be1c47dc
hex799c91a0

2040304032 has 192 divisors, whose sum is σ = 6439023360. Its totient is φ = 624817152.

The previous prime is 2040304003. The next prime is 2040304039. The reversal of 2040304032 is 2304030402.

It is a super-3 number, since 3×20403040323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2040303996 and 2040304014.

It is not an unprimeable number, because it can be changed into a prime (2040304039) 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, 4189293 + ... + 4189779.

It is an arithmetic number, because the mean of its divisors is an integer number (33536580).

Almost surely, 22040304032 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 2040304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219511680).

2040304032 is an abundant number, since it is smaller than the sum of its proper divisors (4398719328).

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

2040304032 is a wasteful number, since it uses less digits than its factorization.

2040304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2040304032 is about 45169.7247279635. The cubic root of 2040304032 is about 1268.3281433700.

Adding to 2040304032 its reverse (2304030402), we get a palindrome (4344334434).

The spelling of 2040304032 in words is "two billion, forty million, three hundred four thousand, thirty-two".