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1300300032 = 2832373613
BaseRepresentation
bin100110110000001…
…0000000100000000
310100121202002022110
41031200100010000
510130334100112
6333005535320
744136240123
oct11540200400
93317662273
101300300032
11607a92729
12303574540
13179511705
14c499c3ba
157924e13c
hex4d810100

1300300032 has 72 divisors (see below), whose sum is σ = 3611208384. Its totient is φ = 414582784.

The previous prime is 1300300013. The next prime is 1300300049. The reversal of 1300300032 is 2300030031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300299990 and 1300300017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19143 + ... + 54470.

It is an arithmetic number, because the mean of its divisors is an integer number (50155672).

Almost surely, 21300300032 is an apocalyptic number.

1300300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1300300032 is an abundant number, since it is smaller than the sum of its proper divisors (2310908352).

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

1300300032 is an equidigital number, since it uses as much as digits as its factorization.

1300300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73655 (or 73641 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 1300300032 is about 36059.6732098337. The cubic root of 1300300032 is about 1091.4768388563.

Adding to 1300300032 its reverse (2300030031), we get a palindrome (3600330063).

The spelling of 1300300032 in words is "one billion, three hundred million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8832 17664 73613 147226 220839 294452 441678 588904 883356 1177808 1693099 1766712 2355616 3386198 3533424 4711232 5079297 6772396 7066848 9422464 10158594 13544792 14133696 18844928 20317188 27089584 28267392 40634376 54179168 56534784 81268752 108358336 162537504 216716672 325075008 433433344 650150016 1300300032