Search a number
-
+
2040413328 = 24341574393
BaseRepresentation
bin111100110011110…
…0011110010010000
312021012101201220000
41321213203302100
513134321211303
6534245050000
7101364140622
oct17147436220
95235351800
102040413328
1195783a808
1248b3b6900
13266957085
14154db8c12
15be1e6da3
hex799e3c90

2040413328 has 50 divisors (see below), whose sum is σ = 5905551894. Its totient is φ = 680137344.

The previous prime is 2040413327. The next prime is 2040413351. The reversal of 2040413328 is 8233140402.

2040413328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2031485184 + 8928144 = 45072^2 + 2988^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2040413327) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 785901 + ... + 788492.

Almost surely, 22040413328 is an apocalyptic number.

It is an amenable number.

2040413328 is an abundant number, since it is smaller than the sum of its proper divisors (3865138566).

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

2040413328 is a wasteful number, since it uses less digits than its factorization.

2040413328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574413 (or 1574398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2040413328 is about 45170.9345486675. The cubic root of 2040413328 is about 1268.3507904389.

The spelling of 2040413328 in words is "two billion, forty million, four hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1574393 3148786 4723179 6297572 9446358 12595144 14169537 18892716 25190288 28339074 37785432 42508611 56678148 75570864 85017222 113356296 127525833 170034444 226712592 255051666 340068888 510103332 680137776 1020206664 2040413328