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1344501144 = 233277693469
BaseRepresentation
bin101000000100011…
…0111010110011000
310110200220201211200
41100020313112120
510223143014034
6341225154200
745214033260
oct12010672630
93420821750
101344501144
1162aa32678
1231632b960
1318571950c
14ca7c67a0
157d080a99
hex50237598

1344501144 has 96 divisors (see below), whose sum is σ = 4168164000. Its totient is φ = 383533056.

The previous prime is 1344501139. The next prime is 1344501173. The reversal of 1344501144 is 4411054431.

1344501144 is a `hidden beast` number, since 13 + 4 + 4 + 501 + 144 = 666.

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 23 ways as a sum of consecutive naturals, for example, 385842 + ... + 389310.

It is an arithmetic number, because the mean of its divisors is an integer number (43418375).

Almost surely, 21344501144 is an apocalyptic number.

1344501144 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 1344501144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084082000).

1344501144 is an abundant number, since it is smaller than the sum of its proper divisors (2823662856).

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

1344501144 is a wasteful number, since it uses less digits than its factorization.

1344501144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1344501144 is about 36667.4398342726. The cubic root of 1344501144 is about 1103.7068180212.

Adding to 1344501144 its reverse (4411054431), we get a palindrome (5755555575).

The spelling of 1344501144 in words is "one billion, three hundred forty-four million, five hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 769 1538 2307 3076 3469 4614 5383 6152 6921 6938 9228 10407 10766 13842 13876 16149 18456 20814 21532 24283 27684 27752 31221 32298 41628 43064 48447 48566 55368 62442 64596 72849 83256 96894 97132 124884 129192 145698 193788 194264 218547 249768 291396 387576 437094 582792 874188 1748376 2667661 5335322 8002983 10670644 16005966 18673627 21341288 24008949 32011932 37347254 48017898 56020881 64023864 74694508 96035796 112041762 149389016 168062643 192071592 224083524 336125286 448167048 672250572 1344501144