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1344134142 = 233137732477
BaseRepresentation
bin101000000011101…
…1101101111111110
310110200020002102000
41100013131233332
510223044243032
6341213243130
745210644301
oct12007355776
93420202360
101344134142
1162a80196a
123161934a6
1318561b460
14ca72cb38
157d00be7c
hex501ddbfe

1344134142 has 64 divisors (see below), whose sum is σ = 3222192960. Its totient is φ = 412877952.

The previous prime is 1344134117. The next prime is 1344134147. The reversal of 1344134142 is 2414314431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344134147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541408 + ... + 543884.

It is an arithmetic number, because the mean of its divisors is an integer number (50346765).

Almost surely, 21344134142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344134142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611096480).

1344134142 is an abundant number, since it is smaller than the sum of its proper divisors (1878058818).

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

1344134142 is a wasteful number, since it uses less digits than its factorization.

1344134142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3268 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1344134142 is about 36662.4350255135. The cubic root of 1344134142 is about 1103.6063843714.

Adding to 1344134142 its reverse (2414314431), we get a palindrome (3758448573).

The spelling of 1344134142 in words is "one billion, three hundred forty-four million, one hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 773 1546 2319 2477 4638 4954 6957 7431 10049 13914 14862 20098 20871 22293 30147 32201 41742 44586 60294 64402 66879 90441 96603 133758 180882 193206 271323 289809 542646 579618 869427 1738854 1914721 3829442 5744163 11488326 17232489 24891373 34464978 49782746 51697467 74674119 103394934 149348238 224022357 448044714 672067071 1344134142