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1344100122 = 233591014177
BaseRepresentation
bin101000000011101…
…0101011100011010
310110200011100202000
41100013111130122
510223042200442
6341212421430
745210443151
oct12007253432
93420140660
101344100122
1162a789352
12316177876
13185608b21
14ca720598
157d001d4c
hex501d571a

1344100122 has 64 divisors (see below), whose sum is σ = 3068323200. Its totient is φ = 435974400.

The previous prime is 1344100117. The next prime is 1344100123. The reversal of 1344100122 is 2210014431.

1344100122 is a `hidden beast` number, since 134 + 410 + 0 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1344100095 and 1344100104.

It is not an unprimeable number, because it can be changed into a prime (1344100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319698 + ... + 323874.

It is an arithmetic number, because the mean of its divisors is an integer number (47942550).

Almost surely, 21344100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534161600).

1344100122 is an abundant number, since it is smaller than the sum of its proper divisors (1724223078).

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

1344100122 is a wasteful number, since it uses less digits than its factorization.

1344100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1344100122 is about 36661.9710599417. The cubic root of 1344100122 is about 1103.5970735433.

Adding to 1344100122 its reverse (2210014431), we get a palindrome (3554114553).

The spelling of 1344100122 in words is "one billion, three hundred forty-four million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 101 118 177 202 303 354 531 606 909 1062 1593 1818 2727 3186 4177 5454 5959 8354 11918 12531 17877 25062 35754 37593 53631 75186 107262 112779 160893 225558 246443 321786 421877 492886 739329 843754 1265631 1478658 2217987 2531262 3796893 4435974 6653961 7593786 11390679 13307922 22781358 24890743 49781486 74672229 149344458 224016687 448033374 672050061 1344100122