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20034288 = 2432232263
BaseRepresentation
bin100110001101…
…1001011110000
31101200211212200
41030123023300
520112044123
61553223200
7332201001
oct114331360
941624780
1020034288
111034406a
126861b00
1341c5c11
1429371a8
151b5b143
hex131b2f0

20034288 has 90 divisors (see below), whose sum is σ = 58834776. Its totient is φ = 6363456.

The previous prime is 20034271. The next prime is 20034293. The reversal of 20034288 is 88243002.

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, 76045 + ... + 76307.

Almost surely, 220034288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20034288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417388).

20034288 is an abundant number, since it is smaller than the sum of its proper divisors (38800488).

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

20034288 is a wasteful number, since it uses less digits than its factorization.

20034288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20034288 is about 4475.9678283026. The cubic root of 20034288 is about 271.5967930167.

The spelling of 20034288 in words is "twenty million, thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 263 276 368 414 526 529 552 789 828 1052 1058 1104 1578 1587 1656 2104 2116 2367 3156 3174 3312 4208 4232 4734 4761 6049 6312 6348 8464 9468 9522 12098 12624 12696 18147 18936 19044 24196 25392 36294 37872 38088 48392 54441 72588 76176 96784 108882 139127 145176 217764 278254 290352 417381 435528 556508 834762 871056 1113016 1252143 1669524 2226032 2504286 3339048 5008572 6678096 10017144 20034288