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2430031300 = 225273332881
BaseRepresentation
bin1001000011010111…
…0101010111000100
320021100112101021021
42100311311113010
514434042000200
61041044000524
7114134632234
oct22065652704
96240471237
102430031300
111037764534
12579990144
132c95a1c58
14190a39cc4
15e350941a
hex90d755c4

2430031300 has 36 divisors (see below), whose sum is σ = 5345419156. Its totient is φ = 958694400.

The previous prime is 2430031229. The next prime is 2430031301. The reversal of 2430031300 is 31300342.

It can be written as a sum of positive squares in 6 ways, for example, as 23736384 + 2406294916 = 4872^2 + 49054^2 .

It is not an unprimeable number, because it can be changed into a prime (2430031301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159141 + ... + 173740.

Almost surely, 22430031300 is an apocalyptic number.

2430031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430031300 is an abundant number, since it is smaller than the sum of its proper divisors (2915387856).

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

2430031300 is a wasteful number, since it uses less digits than its factorization.

2430031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332968 (or 332961 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2430031300 is about 49295.3476506658. The cubic root of 2430031300 is about 1344.4271962868.

Adding to 2430031300 its reverse (31300342), we get a palindrome (2461331642).

The spelling of 2430031300 in words is "two billion, four hundred thirty million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 332881 665762 1331524 1664405 3328810 6657620 8322025 16644050 24300313 33288100 48600626 97201252 121501565 243003130 486006260 607507825 1215015650 2430031300