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10468384 = 252771181
BaseRepresentation
bin100111111011…
…110000100000
3201200211220221
4213323300200
510134442014
61012212424
7154660033
oct47736040
921624827
1010468384
115a00063
12360a114
132226b14
14156701a
15dbbb24
hex9fbc20

10468384 has 24 divisors (see below), whose sum is σ = 20701548. Its totient is φ = 5210880.

The previous prime is 10468363. The next prime is 10468387. The reversal of 10468384 is 48386401.

10468384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 48400 = 3228^2 + 220^2 .

It is not an unprimeable number, because it can be changed into a prime (10468387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8274 + ... + 9454.

Almost surely, 210468384 is an apocalyptic number.

It is an amenable number.

10468384 is a deficient number, since it is larger than the sum of its proper divisors (10233164).

10468384 is a wasteful number, since it uses less digits than its factorization.

10468384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 10468384 is about 3235.4882166375. The cubic root of 10468384 is about 218.7559536883.

The spelling of 10468384 in words is "ten million, four hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 277 554 1108 1181 2216 2362 4432 4724 8864 9448 18896 37792 327137 654274 1308548 2617096 5234192 10468384