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1023444 = 223228429
BaseRepresentation
bin11111001110111010100
31220222220100
43321313110
5230222234
633534100
711461542
oct3716724
91828810
101023444
11639a24
12414330
1329aab6
141c8d92
15153399
hexf9dd4

1023444 has 18 divisors (see below), whose sum is σ = 2587130. Its totient is φ = 341136.

The previous prime is 1023419. The next prime is 1023461. The reversal of 1023444 is 4443201.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 213444 = 900^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10234442 = 2094875242272, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14179 + ... + 14250.

21023444 is an apocalyptic number.

It is an amenable number.

1023444 is an abundant number, since it is smaller than the sum of its proper divisors (1563686).

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

1023444 is a wasteful number, since it uses less digits than its factorization.

1023444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28439 (or 28434 counting only the distinct ones).

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

The square root of 1023444 is about 1011.6540910805. The cubic root of 1023444 is about 100.7754380820.

Adding to 1023444 its reverse (4443201), we get a palindrome (5466645).

The spelling of 1023444 in words is "one million, twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 28429 56858 85287 113716 170574 255861 341148 511722 1023444