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21680334 = 2321327127
BaseRepresentation
bin101001010110…
…1000011001110
31111210110211100
41102231003032
521022232314
62052403530
7352164654
oct122550316
944713740
1021680334
1111268835
1273165a6
134651200
142c44dd4
151d83c09
hex14ad0ce

21680334 has 36 divisors (see below), whose sum is σ = 50872536. Its totient is φ = 6669936.

The previous prime is 21680327. The next prime is 21680341. The reversal of 21680334 is 43308612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21680327) and next prime (21680341).

It is a junction number, because it is equal to n+sod(n) for n = 21680298 and 21680307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 522 + ... + 6605.

It is an arithmetic number, because the mean of its divisors is an integer number (1413126).

Almost surely, 221680334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21680334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25436268).

21680334 is an abundant number, since it is smaller than the sum of its proper divisors (29192202).

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

21680334 is a wasteful number, since it uses less digits than its factorization.

21680334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 21680334 is about 4656.2145569121. The cubic root of 21680334 is about 278.8401597258.

Adding to 21680334 its reverse (43308612), we get a palindrome (64988946).

The spelling of 21680334 in words is "twenty-one million, six hundred eighty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 7127 14254 21381 42762 64143 92651 128286 185302 277953 555906 833859 1204463 1667718 2408926 3613389 7226778 10840167 21680334