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1349120268 = 2232131286073
BaseRepresentation
bin101000001101001…
…1111000100001100
310111000121102002100
41100122133010030
510230333322033
6341512155100
745301222146
oct12032370414
93430542070
101349120268
116325a8031
12317998a90
13186675b22
14cb269c96
157d694513
hex5069f10c

1349120268 has 36 divisors (see below), whose sum is σ = 3436320888. Its totient is φ = 446272320.

The previous prime is 1349120173. The next prime is 1349120291. The reversal of 1349120268 is 8620219431.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 138321 + ... + 147752.

It is an arithmetic number, because the mean of its divisors is an integer number (95453358).

Almost surely, 21349120268 is an apocalyptic number.

1349120268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1349120268 is an abundant number, since it is smaller than the sum of its proper divisors (2087200620).

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

1349120268 is a wasteful number, since it uses less digits than its factorization.

1349120268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286214 (or 286209 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1349120268 is about 36730.3725546039. The cubic root of 1349120268 is about 1104.9693262849.

Adding to 1349120268 its reverse (8620219431), we get a palindrome (9969339699).

The spelling of 1349120268 in words is "one billion, three hundred forty-nine million, one hundred twenty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 286073 572146 858219 1144292 1716438 2574657 3432876 5149314 10298628 37475563 74951126 112426689 149902252 224853378 337280067 449706756 674560134 1349120268