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1344412240 = 24597173249
BaseRepresentation
bin101000000100010…
…0001101001010000
310110200202012212221
41100020201221100
510223132142430
6341223230424
745213213133
oct12010415120
93420665787
101344412240
1162a9818a6
123162a8414
131856b7c02
14ca7a221a
157d06457a
hex50221a50

1344412240 has 40 divisors (see below), whose sum is σ = 3158001000. Its totient is φ = 532217856.

The previous prime is 1344412229. The next prime is 1344412271. The reversal of 1344412240 is 422144431.

It can be written as a sum of positive squares in 4 ways, for example, as 443692096 + 900720144 = 21064^2 + 30012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78865 + ... + 94384.

It is an arithmetic number, because the mean of its divisors is an integer number (78950025).

Almost surely, 21344412240 is an apocalyptic number.

1344412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344412240 is an abundant number, since it is smaller than the sum of its proper divisors (1813588760).

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

1344412240 is a wasteful number, since it uses less digits than its factorization.

1344412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173359 (or 173353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1344412240 is about 36666.2275125217. The cubic root of 1344412240 is about 1103.6824902586.

Adding to 1344412240 its reverse (422144431), we get a palindrome (1766556671).

The spelling of 1344412240 in words is "one billion, three hundred forty-four million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 173249 346498 692996 866245 1385992 1732490 2771984 3464980 6929960 13859920 16805153 33610306 67220612 84025765 134441224 168051530 268882448 336103060 672206120 1344412240