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1300423344 = 2431110192417
BaseRepresentation
bin100110110000010…
…1110001010110000
310100121222100110120
41031200232022300
510130402021334
6333012330240
744140262463
oct11540561260
93317870416
101300423344
11608067340
12303613980
1317955588c
14c49d12da
1579275949
hex4d82e2b0

1300423344 has 80 divisors (see below), whose sum is σ = 3669943680. Its totient is φ = 393518080.

The previous prime is 1300423343. The next prime is 1300423373. The reversal of 1300423344 is 4433240031.

It is a super-2 number, since 2×13004233442 = 3382201747240284672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1300423343) by changing a digit.

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, 536824 + ... + 539240.

It is an arithmetic number, because the mean of its divisors is an integer number (45874296).

Almost surely, 21300423344 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 1300423344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834971840).

1300423344 is an abundant number, since it is smaller than the sum of its proper divisors (2369520336).

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

1300423344 is a wasteful number, since it uses less digits than its factorization.

1300423344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1300423344 is about 36061.3830017652. The cubic root of 1300423344 is about 1091.5113406211.

Adding to 1300423344 its reverse (4433240031), we get a palindrome (5733663375).

It can be divided in two parts, 130042 and 3344, that added together give a triangular number (133386 = T516).

The spelling of 1300423344 in words is "one billion, three hundred million, four hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1019 2038 2417 3057 4076 4834 6114 7251 8152 9668 11209 12228 14502 16304 19336 22418 24456 26587 29004 33627 38672 44836 48912 53174 58008 67254 79761 89672 106348 116016 134508 159522 179344 212696 269016 319044 425392 538032 638088 1276176 2462923 4925846 7388769 9851692 14777538 19703384 27092153 29555076 39406768 54184306 59110152 81276459 108368612 118220304 162552918 216737224 325105836 433474448 650211672 1300423344