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1344001300 = 225217790589
BaseRepresentation
bin101000000011011…
…1101010100010100
310110122222100011221
41100012331110110
510223031020200
6341210340124
745206552065
oct12006752424
93418870157
101344001300
1162a721084
1231612a644
131855a2b55
14ca6d656c
157ced291a
hex501bd514

1344001300 has 36 divisors (see below), whose sum is σ = 3088044540. Its totient is φ = 505976320.

The previous prime is 1344001291. The next prime is 1344001303. The reversal of 1344001300 is 31004431.

It can be written as a sum of positive squares in 6 ways, for example, as 63936016 + 1280065284 = 7996^2 + 35778^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344001303) 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 11 ways as a sum of consecutive naturals, for example, 393595 + ... + 396994.

It is an arithmetic number, because the mean of its divisors is an integer number (85779015).

Almost surely, 21344001300 is an apocalyptic number.

1344001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344001300 is an abundant number, since it is smaller than the sum of its proper divisors (1744043240).

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

1344001300 is a wasteful number, since it uses less digits than its factorization.

1344001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790620 (or 790613 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1344001300 is about 36660.6232898460. The cubic root of 1344001300 is about 1103.5700263660.

Adding to 1344001300 its reverse (31004431), we get a palindrome (1375005731).

The spelling of 1344001300 in words is "one billion, three hundred forty-four million, one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 790589 1581178 3162356 3952945 7905890 13440013 15811780 19764725 26880026 39529450 53760052 67200065 79058900 134400130 268800260 336000325 672000650 1344001300