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1348365642 = 2313172773671
BaseRepresentation
bin101000001011110…
…0110110101001010
310110222012001221020
41100113212311022
510230140200032
6341444053310
745261630111
oct12027466512
93428161836
101348365642
11632132078
12317694236
131864704c0
14cb110c78
157d595b2c
hex505e6d4a

1348365642 has 64 divisors (see below), whose sum is σ = 3086947584. Its totient is φ = 388961280.

The previous prime is 1348365637. The next prime is 1348365653. The reversal of 1348365642 is 2465638431.

It is a junction number, because it is equal to n+sod(n) for n = 1348365594 and 1348365603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365467 + ... + 369137.

It is an arithmetic number, because the mean of its divisors is an integer number (48233556).

Almost surely, 21348365642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348365642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543473792).

1348365642 is an abundant number, since it is smaller than the sum of its proper divisors (1738581942).

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

1348365642 is a wasteful number, since it uses less digits than its factorization.

1348365642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983.

The product of its digits is 414720, while the sum is 42.

The square root of 1348365642 is about 36720.0986109787. The cubic root of 1348365642 is about 1104.7632675370.

The spelling of 1348365642 in words is "one billion, three hundred forty-eight million, three hundred sixty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 277 442 554 663 831 1326 1662 3601 3671 4709 7202 7342 9418 10803 11013 14127 21606 22026 28254 47723 61217 62407 95446 122434 124814 143169 183651 187221 286338 367302 374442 811291 1016867 1622582 2033734 2433873 3050601 4867746 6101202 13219271 17286739 26438542 34573478 39657813 51860217 79315626 103720434 224727607 449455214 674182821 1348365642