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1344134112 = 25337936943
BaseRepresentation
bin101000000011101…
…1101101111100000
310110200020002100220
41100013131233200
510223044242422
6341213243040
745210644226
oct12007355740
93420202326
101344134112
1162a801942
12316193480
1318561b439
14ca72cb16
157d00be5c
hex501ddbe0

1344134112 has 48 divisors (see below), whose sum is σ = 3537757440. Its totient is φ = 446850432.

The previous prime is 1344134111. The next prime is 1344134117. The reversal of 1344134112 is 2114314431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13441341122 = 3613393022084057088, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344134111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17913 + ... + 54855.

It is an arithmetic number, because the mean of its divisors is an integer number (73703280).

Almost surely, 21344134112 is an apocalyptic number.

1344134112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1344134112 is an abundant number, since it is smaller than the sum of its proper divisors (2193623328).

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

1344134112 is a wasteful number, since it uses less digits than its factorization.

1344134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37335 (or 37327 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1344134112 is about 36662.4346163754. The cubic root of 1344134112 is about 1103.6063761609.

Adding to 1344134112 its reverse (2114314431), we get a palindrome (3458448543).

The spelling of 1344134112 in words is "one billion, three hundred forty-four million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 379 758 1137 1516 2274 3032 4548 6064 9096 12128 18192 36384 36943 73886 110829 147772 221658 295544 443316 591088 886632 1182176 1773264 3546528 14001397 28002794 42004191 56005588 84008382 112011176 168016764 224022352 336033528 448044704 672067056 1344134112