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1349336448 = 2733390433
BaseRepresentation
bin101000001101101…
…0011110110000000
310111001000101122000
41100123103312000
510230412231243
6341520544000
745303112335
oct12033236600
93431011560
101349336448
11632735499
12317a82000
13186720345
14cb2c498c
157d6d85d3
hex506d3d80

1349336448 has 64 divisors (see below), whose sum is σ = 3982426800. Its totient is φ = 449777664.

The previous prime is 1349336413. The next prime is 1349336459. The reversal of 1349336448 is 8446339431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 191761 + ... + 198672.

Almost surely, 21349336448 is an apocalyptic number.

1349336448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1349336448 is an abundant number, since it is smaller than the sum of its proper divisors (2633090352).

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

1349336448 is an equidigital number, since it uses as much as digits as its factorization.

1349336448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390456 (or 390438 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 1349336448 is about 36733.3152329054. The cubic root of 1349336448 is about 1105.0283424001.

The spelling of 1349336448 in words is "one billion, three hundred forty-nine million, three hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 390433 780866 1171299 1561732 2342598 3123464 3513897 4685196 6246928 7027794 9370392 10541691 12493856 14055588 18740784 21083382 24987712 28111176 37481568 42166764 49975424 56222352 74963136 84333528 112444704 149926272 168667056 224889408 337334112 449778816 674668224 1349336448