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1344122304 = 26373132261
BaseRepresentation
bin101000000011101…
…1010110111000000
310110200012111011120
41100013122313000
510223043403204
6341213112240
745210564630
oct12007326700
93420174146
101344122304
1162a7a3a88
12316188680
13185615c55
14ca7286c0
157d0086d9
hex501dadc0

1344122304 has 112 divisors (see below), whose sum is σ = 4195608576. Its totient is φ = 371635200.

The previous prime is 1344122291. The next prime is 1344122321. The reversal of 1344122304 is 4032214431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13441223042 = 3613329536220536832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

1344122304 is a modest number, since divided by 122304 gives 1344 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 25534 + ... + 57794.

Almost surely, 21344122304 is an apocalyptic number.

1344122304 is a gapful number since it is divisible by the number (14) 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 1344122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097804288).

1344122304 is an abundant number, since it is smaller than the sum of its proper divisors (2851486272).

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

1344122304 is a wasteful number, since it uses less digits than its factorization.

1344122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32314 (or 32304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1344122304 is about 36662.2735792531. The cubic root of 1344122304 is about 1103.6031444838.

Adding to 1344122304 its reverse (4032214431), we get a palindrome (5376336735).

The spelling of 1344122304 in words is "one billion, three hundred forty-four million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 32261 41664 64522 96783 129044 193566 225827 258088 387132 451654 516176 677481 774264 903308 1000091 1032352 1354962 1548528 1806616 2000182 2064704 2709924 3000273 3097056 3613232 4000364 5419848 6000546 6194112 7000637 7226464 8000728 10839696 12001092 14001274 14452928 16001456 21001911 21679392 24002184 28002548 32002912 42003822 43358784 48004368 56005096 64005824 84007644 96008736 112010192 168015288 192017472 224020384 336030576 448040768 672061152 1344122304