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20942334 = 2337173259
BaseRepresentation
bin100111111100…
…0110111111110
31110101222111000
41033320313332
520330123314
62024511130
7343002240
oct117706776
943358430
1020942334
1110904316
12701b4a6
13445331a
142ad2090
151c8a209
hex13f8dfe

20942334 has 64 divisors (see below), whose sum is σ = 56332800. Its totient is φ = 5629824.

The previous prime is 20942309. The next prime is 20942357. The reversal of 20942334 is 43324902.

It is a happy number.

20942334 is a `hidden beast` number, since 209 + 423 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20942298 and 20942307.

It is a congruent number.

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, 4797 + ... + 8055.

It is an arithmetic number, because the mean of its divisors is an integer number (880200).

Almost surely, 220942334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20942334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28166400).

20942334 is an abundant number, since it is smaller than the sum of its proper divisors (35390466).

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

20942334 is a wasteful number, since it uses less digits than its factorization.

20942334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20942334 is about 4576.2794932128. The cubic root of 20942334 is about 275.6396526062.

The spelling of 20942334 in words is "twenty million, nine hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 3259 6426 6518 9777 19554 22813 29331 45626 55403 58662 68439 87993 110806 136878 166209 175986 205317 332418 387821 410634 498627 615951 775642 997254 1163463 1231902 1495881 2326926 2991762 3490389 6980778 10471167 20942334