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2040330402 = 2321183124153
BaseRepresentation
bin111100110011100…
…1111100010100010
312021012020112010200
41321213033202202
513134311033102
6534243210030
7101363344065
oct17147174242
95235215120
102040330402
11957793480
1248b376916
132669283c6
14154d968dc
15be1cc51c
hex799cf8a2

2040330402 has 48 divisors (see below), whose sum is σ = 4880742048. Its totient is φ = 610827840.

The previous prime is 2040330401. The next prime is 2040330403.

2040330402 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2040330401) and next prime (2040330403).

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

It is not an unprimeable number, because it can be changed into a prime (2040330401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45643 + ... + 78510.

It is an arithmetic number, because the mean of its divisors is an integer number (101682126).

Almost surely, 22040330402 is an apocalyptic number.

2040330402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2040330402 is an abundant number, since it is smaller than the sum of its proper divisors (2840411646).

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

2040330402 is a wasteful number, since it uses less digits than its factorization.

2040330402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124255 (or 124252 counting only the distinct ones).

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

The square root of 2040330402 is about 45170.0166260762. The cubic root of 2040330402 is about 1268.3336075343. Note that the first 3 decimals are identical.

It can be divided in two parts, 20403 and 30402, that added together give a palindrome (50805).

The spelling of 2040330402 in words is "two billion, forty million, three hundred thirty thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1494 1826 2739 5478 8217 16434 124153 248306 372459 744918 1117377 1365683 2234754 2731366 4097049 8194098 10304699 12291147 20609398 24582294 30914097 61828194 92742291 113351689 185484582 226703378 340055067 680110134 1020165201 2040330402