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20343288 = 2337172419
BaseRepresentation
bin100110110011…
…0100111111000
31102021112202010
41031212213320
520201441123
62004005520
7334625610
oct115464770
942245663
1020343288
1110535239
1269908a0
1342a3764
1429b7a40
151bbc993
hex13669f8

20343288 has 96 divisors (see below), whose sum is σ = 61891200. Its totient is φ = 5457408.

The previous prime is 20343287. The next prime is 20343329. The reversal of 20343288 is 88234302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20343287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48343 + ... + 48761.

It is an arithmetic number, because the mean of its divisors is an integer number (644700).

Almost surely, 220343288 is an apocalyptic number.

20343288 is a gapful number since it is divisible by the number (28) 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 20343288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30945600).

20343288 is an abundant number, since it is smaller than the sum of its proper divisors (41547912).

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

20343288 is a wasteful number, since it uses less digits than its factorization.

20343288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20343288 is about 4510.3534229592. The cubic root of 20343288 is about 272.9860047301.

The spelling of 20343288 in words is "twenty million, three hundred forty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 289 357 408 419 476 578 714 838 867 952 1156 1257 1428 1676 1734 2023 2312 2514 2856 2933 3352 3468 4046 5028 5866 6069 6936 7123 8092 8799 10056 11732 12138 14246 16184 17598 21369 23464 24276 28492 35196 42738 48552 49861 56984 70392 85476 99722 121091 149583 170952 199444 242182 299166 363273 398888 484364 598332 726546 847637 968728 1196664 1453092 1695274 2542911 2906184 3390548 5085822 6781096 10171644 20343288