Search a number
-
+
2404000530 = 232529921073
BaseRepresentation
bin1000111101001010…
…0010001100010010
320012112112212202200
42033102202030102
514410411004110
61034314024030
7113400444621
oct21722421422
96175485680
102404000530
111023aa51a8
12571118016
132c4089829
1418b3c16b8
15e10b66c0
hex8f4a2312

2404000530 has 48 divisors (see below), whose sum is σ = 6465939480. Its totient is φ = 618960384.

The previous prime is 2404000523. The next prime is 2404000537. The reversal of 2404000530 is 350004042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2404000523) and next prime (2404000537).

It can be written as a sum of positive squares in 4 ways, for example, as 1798692921 + 605307609 = 42411^2 + 24603^2 .

It is a super-3 number, since 3×24040005303 (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 not an unprimeable number, because it can be changed into a prime (2404000537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457927 + ... + 463146.

Almost surely, 22404000530 is an apocalyptic number.

2404000530 is an abundant number, since it is smaller than the sum of its proper divisors (4061938950).

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

2404000530 is a wasteful number, since it uses less digits than its factorization.

2404000530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921115 (or 921112 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2404000530 is about 49030.6080933125. The cubic root of 2404000530 is about 1339.6094001513.

Adding to 2404000530 its reverse (350004042), we get a palindrome (2754004572).

The spelling of 2404000530 in words is "two billion, four hundred four million, five hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 921073 1842146 2763219 4605365 5526438 8289657 9210730 13816095 16579314 26711117 27632190 41448285 53422234 80133351 82896570 133555585 160266702 240400053 267111170 400666755 480800106 801333510 1202000265 2404000530