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33244020 = 2234520521
BaseRepresentation
bin111111011010…
…0001101110100
32022112222020000
41332310031310
532002302040
63144311300
7552366225
oct176641564
968488200
1033244020
11178467a7
12b172530
136b6c724
1445b524c
152dba130
hex1fb4374

33244020 has 60 divisors (see below), whose sum is σ = 104292804. Its totient is φ = 8864640.

The previous prime is 33243983. The next prime is 33244021. The reversal of 33244020 is 2044233.

It can be written as a sum of positive squares in 2 ways, for example, as 16695396 + 16548624 = 4086^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×332440202 = 2210329731520800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33243984 and 33244002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33244021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8641 + ... + 11880.

Almost surely, 233244020 is an apocalyptic number.

33244020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33244020 is an abundant number, since it is smaller than the sum of its proper divisors (71048784).

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

33244020 is a wasteful number, since it uses less digits than its factorization.

33244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20542 (or 20531 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33244020 is about 5765.7627422571. The cubic root of 33244020 is about 321.5421008488.

Adding to 33244020 its reverse (2044233), we get a palindrome (35288253).

The spelling of 33244020 in words is "thirty-three million, two hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 20521 41042 61563 82084 102605 123126 184689 205210 246252 307815 369378 410420 554067 615630 738756 923445 1108134 1231260 1662201 1846890 2216268 2770335 3324402 3693780 5540670 6648804 8311005 11081340 16622010 33244020