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1341013032 = 2332103211857
BaseRepresentation
bin100111111101110…
…0011110000101000
310110110100112001100
41033323203300220
510221244404112
6341022321400
745142264662
oct11773436050
93413315040
101341013032
11628a6aa37
12315129260
13184a97948
14ca159532
157cae22dc
hex4fee3c28

1341013032 has 96 divisors (see below), whose sum is σ = 3688850880. Its totient is φ = 440052480.

The previous prime is 1341013021. The next prime is 1341013181. The reversal of 1341013032 is 2303101431.

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 = 1341012996 and 1341013014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1564348 + ... + 1565204.

It is an arithmetic number, because the mean of its divisors is an integer number (38425530).

Almost surely, 21341013032 is an apocalyptic number.

1341013032 is a gapful number since it is divisible by the number (12) 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 1341013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844425440).

1341013032 is an abundant number, since it is smaller than the sum of its proper divisors (2347837848).

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

1341013032 is a wasteful number, since it uses less digits than its factorization.

1341013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1341013032 is about 36619.8447839419. The cubic root of 1341013032 is about 1102.7515226652.

Adding to 1341013032 its reverse (2303101431), we get a palindrome (3644114463).

The spelling of 1341013032 in words is "one billion, three hundred forty-one million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 211 309 412 422 618 633 824 844 857 927 1236 1266 1688 1714 1854 1899 2472 2532 2571 3428 3708 3798 5064 5142 6856 7416 7596 7713 10284 15192 15426 20568 21733 30852 43466 61704 65199 86932 88271 130398 173864 176542 180827 195597 260796 264813 353084 361654 391194 521592 529626 542481 706168 723308 782388 794439 1059252 1084962 1446616 1564776 1588878 1627443 2118504 2169924 3177756 3254886 4339848 6355512 6509772 13019544 18625181 37250362 55875543 74500724 111751086 149001448 167626629 223502172 335253258 447004344 670506516 1341013032