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1344700032 = 273131671613
BaseRepresentation
bin101000000100110…
…0111111010000000
310110201021211122220
41100021213322000
510223220400112
6341233331040
745215522154
oct12011477200
93421254586
101344700032
11630059045
12316406a80
13185788bc0
14ca839064
157d0be98c
hex50267e80

1344700032 has 128 divisors (see below), whose sum is σ = 3872050560. Its totient is φ = 411021312.

The previous prime is 1344700013. The next prime is 1344700057. The reversal of 1344700032 is 2300074431.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 1344699975 and 1344700011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832858 + ... + 834470.

It is an arithmetic number, because the mean of its divisors is an integer number (30250395).

Almost surely, 21344700032 is an apocalyptic number.

1344700032 is a gapful number since it is divisible by the number (12) 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 1344700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936025280).

1344700032 is an abundant number, since it is smaller than the sum of its proper divisors (2527350528).

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

1344700032 is a wasteful number, since it uses less digits than its factorization.

1344700032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 1344700032 is about 36670.1517858871. The cubic root of 1344700032 is about 1103.7612380117.

Adding to 1344700032 its reverse (2300074431), we get a palindrome (3644774463).

The spelling of 1344700032 in words is "one billion, three hundred forty-four million, seven hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 167 192 208 312 334 384 416 501 624 668 832 1002 1248 1336 1613 1664 2004 2171 2496 2672 3226 4008 4342 4839 4992 5344 6452 6513 8016 8684 9678 10688 12904 13026 16032 17368 19356 20969 21376 25808 26052 32064 34736 38712 41938 51616 52104 62907 64128 69472 77424 83876 103232 104208 125814 138944 154848 167752 206464 208416 251628 269371 277888 309696 335504 416832 503256 538742 619392 671008 808113 833664 1006512 1077484 1342016 1616226 2013024 2154968 2684032 3232452 3501823 4026048 4309936 6464904 7003646 8052096 8619872 10505469 12929808 14007292 17239744 21010938 25859616 28014584 34479488 42021876 51719232 56029168 84043752 103438464 112058336 168087504 224116672 336175008 448233344 672350016 1344700032