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21343432 = 23112171297
BaseRepresentation
bin101000101101…
…0110011001000
31111011100200111
41101122303020
520430442212
62041244104
7346262515
oct121326310
944140614
1021343432
1111058700
127193634
134563a66
142b9830c
151d18ea7
hex145acc8

21343432 has 48 divisors (see below), whose sum is σ = 46611180. Its totient is φ = 9123840.

The previous prime is 21343429. The next prime is 21343451. The reversal of 21343432 is 23434312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16208676 + 5134756 = 4026^2 + 2266^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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 11 ways as a sum of consecutive naturals, for example, 15808 + ... + 17104.

Almost surely, 221343432 is an apocalyptic number.

21343432 is a gapful number since it is divisible by the number (22) 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 21343432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23305590).

21343432 is an abundant number, since it is smaller than the sum of its proper divisors (25267748).

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

21343432 is a wasteful number, since it uses less digits than its factorization.

21343432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1327 counting only the distinct ones).

The product of its digits is 1728, while the sum is 22.

The square root of 21343432 is about 4619.8952369074. The cubic root of 21343432 is about 277.3882654891.

Adding to 21343432 its reverse (23434312), we get a palindrome (44777744).

The spelling of 21343432 in words is "twenty-one million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1297 1496 2057 2594 4114 5188 8228 10376 14267 16456 22049 28534 44098 57068 88196 114136 156937 176392 242539 313874 485078 627748 970156 1255496 1940312 2667929 5335858 10671716 21343432