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10338264 = 23321391033
BaseRepresentation
bin100111011011…
…111111011000
3201110020102200
4213123333120
510121311024
61005330200
7153605466
oct47337730
921406380
1010338264
115921322
123566960
1321ac821
141531836
15d932c9
hex9dbfd8

10338264 has 48 divisors (see below), whose sum is σ = 28228200. Its totient is φ = 3417984.

The previous prime is 10338241. The next prime is 10338269. The reversal of 10338264 is 46283301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9492 + ... + 10524.

Almost surely, 210338264 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 10338264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114100).

10338264 is an abundant number, since it is smaller than the sum of its proper divisors (17889936).

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

10338264 is a wasteful number, since it uses less digits than its factorization.

10338264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

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

The square root of 10338264 is about 3215.3170916723. The cubic root of 10338264 is about 217.8458074137.

The spelling of 10338264 in words is "ten million, three hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1033 1112 1251 1668 2066 2502 3099 3336 4132 5004 6198 8264 9297 10008 12396 18594 24792 37188 74376 143587 287174 430761 574348 861522 1148696 1292283 1723044 2584566 3446088 5169132 10338264