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1342413132 = 2232937137761
BaseRepresentation
bin101000000000011…
…1001100101001100
310110112222122121220
41100000321211030
510222124210012
6341112323340
745160215624
oct12000714514
93415878556
101342413132
11629836945
123156a3550
13185167cc8
14ca401884
157ccbc08c
hex5003994c

1342413132 has 96 divisors (see below), whose sum is σ = 3356579520. Its totient is φ = 416747520.

The previous prime is 1342413071. The next prime is 1342413157. The reversal of 1342413132 is 2313142431.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763632 + ... + 1764392.

It is an arithmetic number, because the mean of its divisors is an integer number (34964370).

Almost surely, 21342413132 is an apocalyptic number.

1342413132 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 1342413132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678289760).

1342413132 is an abundant number, since it is smaller than the sum of its proper divisors (2014166388).

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

1342413132 is a wasteful number, since it uses less digits than its factorization.

1342413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 969 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1342413132 is about 36638.9564807733. The cubic root of 1342413132 is about 1103.1351692942.

Adding to 1342413132 its reverse (2313142431), we get a palindrome (3655555563).

The spelling of 1342413132 in words is "one billion, three hundred forty-two million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 137 148 174 222 274 348 411 444 548 761 822 1073 1522 1644 2146 2283 3044 3219 3973 4292 4566 5069 6438 7946 9132 10138 11919 12876 15207 15892 20276 22069 23838 28157 30414 44138 47676 56314 60828 66207 84471 88276 104257 112628 132414 147001 168942 208514 264828 294002 312771 337884 417028 441003 588004 625542 816553 882006 1251084 1633106 1764012 2449659 3023453 3266212 3857509 4899318 6046906 7715018 9070359 9798636 11572527 12093812 15430036 18140718 23145054 36281436 46290108 111867761 223735522 335603283 447471044 671206566 1342413132