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1344690468 = 2232116435281
BaseRepresentation
bin101000000100110…
…0101100100100100
310110201021100112200
41100021211210210
510223220043333
6341233214500
745215452242
oct12011454444
93421240480
101344690468
11630051940
12316401430
13185784744
14ca835792
157d0bbc13
hex50265924

1344690468 has 72 divisors (see below), whose sum is σ = 3714555936. Its totient is φ = 406771200.

The previous prime is 1344690443. The next prime is 1344690481. The reversal of 1344690468 is 8640964431.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 251988 + ... + 257268.

Almost surely, 21344690468 is an apocalyptic number.

1344690468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344690468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857277968).

1344690468 is an abundant number, since it is smaller than the sum of its proper divisors (2369865468).

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

1344690468 is a wasteful number, since it uses less digits than its factorization.

1344690468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1344690468 is about 36670.0213798683. The cubic root of 1344690468 is about 1103.7586212206.

The spelling of 1344690468 in words is "one billion, three hundred forty-four million, six hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 643 1286 1929 2572 3858 5281 5787 7073 7716 10562 11574 14146 15843 21124 21219 23148 28292 31686 42438 47529 58091 63372 63657 84876 95058 116182 127314 174273 190116 232364 254628 348546 522819 697092 1045638 2091276 3395683 6791366 10187049 13582732 20374098 30561147 37352513 40748196 61122294 74705026 112057539 122244588 149410052 224115078 336172617 448230156 672345234 1344690468