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1349226816 = 26371003889
BaseRepresentation
bin101000001101011…
…1001000101000000
310111000210211020120
41100122321011000
510230400224231
6341514340240
745302144610
oct12032710500
93430724216
101349226816
11632670093
12317a2a680
131866b2482
14cb296a40
157d6b5d96
hex506b9140

1349226816 has 56 divisors (see below), whose sum is σ = 4079808960. Its totient is φ = 385492992.

The previous prime is 1349226773. The next prime is 1349226817. The reversal of 1349226816 is 6186229431.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349226817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500601 + ... + 503288.

Almost surely, 21349226816 is an apocalyptic number.

1349226816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1349226816 is an abundant number, since it is smaller than the sum of its proper divisors (2730582144).

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

1349226816 is a wasteful number, since it uses less digits than its factorization.

1349226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003911 (or 1003901 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1349226816 is about 36731.8229332550. The cubic root of 1349226816 is about 1104.9984141716.

The spelling of 1349226816 in words is "one billion, three hundred forty-nine million, two hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1003889 2007778 3011667 4015556 6023334 7027223 8031112 12046668 14054446 16062224 21081669 24093336 28108892 32124448 42163338 48186672 56217784 64248896 84326676 96373344 112435568 168653352 192746688 224871136 337306704 449742272 674613408 1349226816