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1344134304 = 25331555711
BaseRepresentation
bin101000000011101…
…1101110010100000
310110200020002122000
41100013131302200
510223044244204
6341213244000
745210644622
oct12007356240
93420202560
101344134304
1162a801aa7
12316193600
1318561b556
14ca72cc12
157d00c039
hex501ddca0

1344134304 has 48 divisors (see below), whose sum is σ = 3920394240. Its totient is φ = 448044480.

The previous prime is 1344134303. The next prime is 1344134317. The reversal of 1344134304 is 4034314431.

1344134304 is a `hidden beast` number, since 1 + 344 + 13 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1344134303) by changing a digit.

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, 776992 + ... + 778719.

It is an arithmetic number, because the mean of its divisors is an integer number (81674880).

Almost surely, 21344134304 is an apocalyptic number.

It is an amenable number.

1344134304 is an abundant number, since it is smaller than the sum of its proper divisors (2576259936).

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

1344134304 is a wasteful number, since it uses less digits than its factorization.

1344134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555730 (or 1555716 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1344134304 is about 36662.4372348593. The cubic root of 1344134304 is about 1103.6064287083.

Adding to 1344134304 its reverse (4034314431), we get a palindrome (5378448735).

The spelling of 1344134304 in words is "one billion, three hundred forty-four million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1555711 3111422 4667133 6222844 9334266 12445688 14001399 18668532 24891376 28002798 37337064 42004197 49782752 56005596 74674128 84008394 112011192 149348256 168016788 224022384 336033576 448044768 672067152 1344134304