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1300434444 = 2232238211913
BaseRepresentation
bin100110110000011…
…0000111000001100
310100121222220200200
41031200300320030
510130402400234
6333012453500
744140340031
oct11540607014
93317886620
101300434444
11608074711
1230361a290
1317955a94a
14c49d5388
1579278d99
hex4d830e0c

1300434444 has 72 divisors (see below), whose sum is σ = 3436104672. Its totient is φ = 413909760.

The previous prime is 1300434413. The next prime is 1300434479. The reversal of 1300434444 is 4444340031.

It is a super-2 number, since 2×13004344442 = 3382259486283178272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678832 + ... + 680744.

It is an arithmetic number, because the mean of its divisors is an integer number (47723676).

Almost surely, 21300434444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300434444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718052336).

1300434444 is an abundant number, since it is smaller than the sum of its proper divisors (2135670228).

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

1300434444 is a wasteful number, since it uses less digits than its factorization.

1300434444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1300434444 is about 36061.5369056839. The cubic root of 1300434444 is about 1091.5144462101.

Adding to 1300434444 its reverse (4444340031), we get a palindrome (5744774475).

The spelling of 1300434444 in words is "one billion, three hundred million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 821 828 1642 1913 2463 3284 3826 4926 5739 7389 7652 9852 11478 14778 17217 18883 22956 29556 34434 37766 43999 56649 68868 75532 87998 113298 131997 169947 175996 226596 263994 339894 395991 527988 679788 791982 1570573 1583964 3141146 4711719 6282292 9423438 14135157 18846876 28270314 36123179 56540628 72246358 108369537 144492716 216739074 325108611 433478148 650217222 1300434444