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10023444 = 2232299601
BaseRepresentation
bin100110001111…
…001000010100
3200212020120200
4212033020110
510031222234
6554500500
7151124604
oct46171024
920766520
1010023444
115726842
123434730
1320cc442
14148cc04
15d2ed99
hex98f214

10023444 has 36 divisors (see below), whose sum is σ = 26213460. Its totient is φ = 3225600.

The previous prime is 10023443. The next prime is 10023449. The reversal of 10023444 is 44432001.

It can be written as a sum of positive squares in 2 ways, for example, as 6563844 + 3459600 = 2562^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100234442 = 200938859242272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023443) 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, 3757 + ... + 5844.

Almost surely, 210023444 is an apocalyptic number.

It is an amenable number.

10023444 is an abundant number, since it is smaller than the sum of its proper divisors (16190016).

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

10023444 is a wasteful number, since it uses less digits than its factorization.

10023444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9640 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10023444 is about 3165.9823120163. The cubic root of 10023444 is about 215.6116994947.

Adding to 10023444 its reverse (44432001), we get a palindrome (54455445).

The spelling of 10023444 in words is "ten million, twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 9601 19202 28803 38404 57606 86409 115212 172818 278429 345636 556858 835287 1113716 1670574 2505861 3341148 5011722 10023444