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9438264 = 23321117701
BaseRepresentation
bin100100000000…
…010000111000
3122202111212100
4210000100320
54404011024
6534143400
7143136543
oct44002070
918674770
109438264
115367120
1231b1b60
131c55c94
14137985a
15c667c9
hex900438

9438264 has 96 divisors (see below), whose sum is σ = 29568240. Its totient is φ = 2688000.

The previous prime is 9438263. The next prime is 9438277. The reversal of 9438264 is 4628349.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 9 + 45 + 3 + 8 + 223 + 62 + 410 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9438263) 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, 13114 + ... + 13814.

Almost surely, 29438264 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 9438264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784120).

9438264 is an abundant number, since it is smaller than the sum of its proper divisors (20129976).

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

9438264 is a wasteful number, since it uses less digits than its factorization.

9438264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 734 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 9438264 is about 3072.1757762211. The cubic root of 9438264 is about 211.3314049676.

The spelling of 9438264 in words is "nine million, four hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 701 748 792 1122 1224 1402 1496 1683 2103 2244 2804 3366 4206 4488 5608 6309 6732 7711 8412 11917 12618 13464 15422 16824 23133 23834 25236 30844 35751 46266 47668 50472 61688 69399 71502 92532 95336 107253 131087 138798 143004 185064 214506 262174 277596 286008 393261 429012 524348 555192 786522 858024 1048696 1179783 1573044 2359566 3146088 4719132 9438264