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1300431345 = 35194562917
BaseRepresentation
bin100110110000011…
…0000000111110001
310100121222202102220
41031200300013301
510130402300340
6333012431253
744140325013
oct11540600761
93317882386
101300431345
11608072354
12303618529
13179559405
14c49d41b3
1579277ed0
hex4d8301f1

1300431345 has 16 divisors (see below), whose sum is σ = 2190200640. Its totient is φ = 657059904.

The previous prime is 1300431329. The next prime is 1300431361. The reversal of 1300431345 is 5431340031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1300431329) and next prime (1300431361).

It is not a de Polignac number, because 1300431345 - 24 = 1300431329 is a prime.

It is a super-2 number, since 2×13004313452 = 3382243366117018050, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2281174 + ... + 2281743.

It is an arithmetic number, because the mean of its divisors is an integer number (136887540).

Almost surely, 21300431345 is an apocalyptic number.

1300431345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1300431345 is a deficient number, since it is larger than the sum of its proper divisors (889769295).

1300431345 is a wasteful number, since it uses less digits than its factorization.

1300431345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562944.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1300431345 is about 36061.4939374397. The cubic root of 1300431345 is about 1091.5135791650.

Adding to 1300431345 its reverse (5431340031), we get a palindrome (6731771376).

The spelling of 1300431345 in words is "one billion, three hundred million, four hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 57 95 285 4562917 13688751 22814585 68443755 86695423 260086269 433477115 1300431345