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2430000306 = 232294655173
BaseRepresentation
bin1001000011010110…
…1101110010110010
320021100110210202100
42100311231302302
514434040002211
61041043201230
7114134442666
oct22065556262
96240423670
102430000306
111037743218
12579976216
132c9590b06
14190a2c8a6
15e3500156
hex90d6dcb2

2430000306 has 24 divisors (see below), whose sum is σ = 5446553580. Its totient is φ = 782068896.

The previous prime is 2430000257. The next prime is 2430000311. The reversal of 2430000306 is 6030000342.

2430000306 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2296805625 + 133194681 = 47925^2 + 11541^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2327065 + ... + 2328108.

Almost surely, 22430000306 is an apocalyptic number.

2430000306 is an abundant number, since it is smaller than the sum of its proper divisors (3016553274).

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

2430000306 is a wasteful number, since it uses less digits than its factorization.

2430000306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655210 (or 4655207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2430000306 is about 49295.0332792260. The cubic root of 2430000306 is about 1344.4214803997.

Adding to 2430000306 its reverse (6030000342), we get a palindrome (8460000648).

The spelling of 2430000306 in words is "two billion, four hundred thirty million, three hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 4655173 9310346 13965519 27931038 41896557 83793114 135000017 270000034 405000051 810000102 1215000153 2430000306