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1344699216 = 243278591553
BaseRepresentation
bin101000000100110…
…0111101101010000
310110201021210112200
41100021213231100
510223220333331
6341233323200
745215516610
oct12011475520
93421253480
101344699216
11630058473
12316406500
13185788713
14ca838a40
157d0be5e6
hex50267b50

1344699216 has 120 divisors (see below), whose sum is σ = 4308682560. Its totient is φ = 383505408.

The previous prime is 1344699151. The next prime is 1344699229. The reversal of 1344699216 is 6129964431.

1344699216 is a `hidden beast` number, since 1 + 344 + 6 + 99 + 216 = 666.

It is a super-2 number, since 2×13446992162 = 3616431963022029312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 865096 + ... + 866648.

It is an arithmetic number, because the mean of its divisors is an integer number (35905688).

Almost surely, 21344699216 is an apocalyptic number.

1344699216 is a gapful number since it is divisible by the number (16) 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 1344699216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154341280).

1344699216 is an abundant number, since it is smaller than the sum of its proper divisors (2963983344).

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

1344699216 is a wasteful number, since it uses less digits than its factorization.

1344699216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2424 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1344699216 is about 36670.1406596702. The cubic root of 1344699216 is about 1103.7610147477.

The spelling of 1344699216 in words is "one billion, three hundred forty-four million, six hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 859 1008 1553 1718 2577 3106 3436 4659 5154 6013 6212 6872 7731 9318 10308 10871 12026 12424 13744 13977 15462 18039 18636 20616 21742 24052 24848 27954 30924 32613 36078 37272 41232 43484 48104 54117 55908 61848 65226 72156 74544 86968 96208 97839 108234 111816 123696 130452 144312 173936 195678 216468 223632 260904 288624 391356 432936 521808 782712 865872 1334027 1565424 2668054 4002081 5336108 8004162 9338189 10672216 12006243 16008324 18676378 21344432 24012486 28014567 32016648 37352756 48024972 56029134 64033296 74705512 84043701 96049944 112058268 149411024 168087402 192099888 224116536 336174804 448233072 672349608 1344699216