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33342972 = 22313213737
BaseRepresentation
bin111111100110…
…0010111111100
32022201222221220
41333030113330
532013433342
63150353340
7553260555
oct177142774
968658856
1033342972
1117904083
12b1bb850
136ba5790
1445dd32c
152dd95ec
hex1fcc5fc

33342972 has 24 divisors (see below), whose sum is σ = 83785296. Its totient is φ = 10259328.

The previous prime is 33342971. The next prime is 33342973. The reversal of 33342972 is 27924333.

It is an interprime number because it is at equal distance from previous prime (33342971) and next prime (33342973).

It is a super-2 number, since 2×333429722 = 2223507563585568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33342971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106713 + ... + 107024.

It is an arithmetic number, because the mean of its divisors is an integer number (3491054).

Almost surely, 233342972 is an apocalyptic number.

It is an amenable number.

33342972 is an abundant number, since it is smaller than the sum of its proper divisors (50442324).

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

33342972 is a wasteful number, since it uses less digits than its factorization.

33342972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213757 (or 213755 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 33342972 is about 5774.3373645813. The cubic root of 33342972 is about 321.8608119803.

The spelling of 33342972 in words is "thirty-three million, three hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 213737 427474 641211 854948 1282422 2564844 2778581 5557162 8335743 11114324 16671486 33342972