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1300230414 = 233717202339
BaseRepresentation
bin100110101111111…
…1111000100001110
310100121121112211000
41031133333010032
510130324333124
6333004241130
744135530140
oct11537770416
93317545730
101300230414
11607a4539a
123035401a6
131794b8b12
14c4980c90
15792386c9
hex4d7ff10e

1300230414 has 64 divisors (see below), whose sum is σ = 3496435200. Its totient is φ = 349640064.

The previous prime is 1300230391. The next prime is 1300230461. The reversal of 1300230414 is 4140320031.

It is a super-2 number, since 2×13002304142 = 3381198258981222792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94744 + ... + 107595.

It is an arithmetic number, because the mean of its divisors is an integer number (54631800).

Almost surely, 21300230414 is an apocalyptic number.

1300230414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1300230414 is an abundant number, since it is smaller than the sum of its proper divisors (2196204786).

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

1300230414 is a wasteful number, since it uses less digits than its factorization.

1300230414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202374 (or 202368 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300230414 is about 36058.7078803442. The cubic root of 1300230414 is about 1091.4573593032.

Adding to 1300230414 its reverse (4140320031), we get a palindrome (5440550445).

The spelling of 1300230414 in words is "one billion, three hundred million, two hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 202339 404678 607017 1214034 1416373 1821051 2832746 3439763 3642102 4249119 5463153 6879526 8498238 10319289 10926306 12747357 20638578 24078341 25494714 30957867 38242071 48156682 61915734 72235023 76484142 92873601 144470046 185747202 216705069 433410138 650115207 1300230414