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1344334684 = 227112419947
BaseRepresentation
bin101000000100000…
…1110101101011100
310110200121021111111
41100020032231130
510223122202214
6341221431404
745212441050
oct12010165534
93420537444
101344334684
1162a929600
1231626b564
1318568b814
14ca781c60
157d04b5c4
hex5020eb5c

1344334684 has 72 divisors (see below), whose sum is σ = 2965495680. Its totient is φ = 521964960.

The previous prime is 1344334681. The next prime is 1344334711. The reversal of 1344334684 is 4864334431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344334681) by changing a digit.

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, 1419099 + ... + 1420045.

It is an arithmetic number, because the mean of its divisors is an integer number (41187440).

Almost surely, 21344334684 is an apocalyptic number.

1344334684 is a gapful number since it is divisible by the number (14) 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 1344334684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482747840).

1344334684 is an abundant number, since it is smaller than the sum of its proper divisors (1621160996).

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

1344334684 is a wasteful number, since it uses less digits than its factorization.

1344334684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1386 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The square root of 1344334684 is about 36665.1699027838. The cubic root of 1344334684 is about 1103.6612668961.

The spelling of 1344334684 in words is "one billion, three hundred forty-four million, three hundred thirty-four thousand, six hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 419 484 838 847 947 1676 1694 1894 2933 3388 3788 4609 5866 6629 9218 10417 11732 13258 18436 20834 26516 32263 41668 50699 64526 72919 101398 114587 129052 145838 202796 229174 291676 354893 396793 458348 709786 793586 802109 1419572 1587172 1604218 2777551 3208436 4364723 5555102 8729446 11110204 17458892 30553061 48011953 61106122 96023906 122212244 192047812 336083671 672167342 1344334684