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13341432 = 2331361701
BaseRepresentation
bin110010111001…
…001011111000
3221002211000010
4302321023320
511403411212
61153541520
7221254206
oct62711370
927084003
1013341432
117592685
1245748a0
1329c1750
141ab4076
15128803c
hexcb92f8

13341432 has 64 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 4032000.

The previous prime is 13341409. The next prime is 13341437. The reversal of 13341432 is 23414331.

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

It is a junction number, because it is equal to n+sod(n) for n = 13341399 and 13341408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341437) 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 15 ways as a sum of consecutive naturals, for example, 18682 + ... + 19382.

Almost surely, 213341432 is an apocalyptic number.

13341432 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 13341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

13341432 is an abundant number, since it is smaller than the sum of its proper divisors (23218728).

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

13341432 is a wasteful number, since it uses less digits than its factorization.

13341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 13341432 is about 3652.5925039621. The cubic root of 13341432 is about 237.1742207376.

Adding to 13341432 its reverse (23414331), we get a palindrome (36755763).

It can be divided in two parts, 1 and 3341432, that added together give a palindrome (3341433).

The spelling of 13341432 in words is "thirteen million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 701 732 793 1402 1464 1586 2103 2379 2804 3172 4206 4758 5608 6344 8412 9113 9516 16824 18226 19032 27339 36452 42761 54678 72904 85522 109356 128283 171044 218712 256566 342088 513132 555893 1026264 1111786 1667679 2223572 3335358 4447144 6670716 13341432