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1300008348 = 2232191900597
BaseRepresentation
bin100110101111100…
…1000110110011100
310100121012021012100
41031133020312130
510130300231343
6332555405100
744133613542
oct11537106634
93317167170
101300008348
11607903571
12303453790
1317943ba12
14c4923d92
15791e29d3
hex4d7c8d9c

1300008348 has 36 divisors (see below), whose sum is σ = 3459088360. Its totient is φ = 410528736.

The previous prime is 1300008341. The next prime is 1300008349. The reversal of 1300008348 is 8438000031.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300008341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949615 + ... + 950982.

Almost surely, 21300008348 is an apocalyptic number.

1300008348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1300008348 is an abundant number, since it is smaller than the sum of its proper divisors (2159080012).

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

1300008348 is a wasteful number, since it uses less digits than its factorization.

1300008348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900626 (or 1900621 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1300008348 is about 36055.6285203850. The cubic root of 1300008348 is about 1091.3952191966.

Adding to 1300008348 its reverse (8438000031), we get a palindrome (9738008379).

The spelling of 1300008348 in words is "one billion, three hundred million, eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1900597 3801194 5701791 7602388 11403582 17105373 22807164 34210746 36111343 68421492 72222686 108334029 144445372 216668058 325002087 433336116 650004174 1300008348