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334545040 = 24517245989
BaseRepresentation
bin10011111100001…
…100000010010000
3212022111122112001
4103330030002100
51141120420130
653110243344
711201404654
oct2374140220
9768448461
10334545040
11161929705
1294056554
135440475b
1432606a64
151e5846ca
hex13f0c090

334545040 has 40 divisors (see below), whose sum is σ = 823574520. Its totient is φ = 125945856.

The previous prime is 334545019. The next prime is 334545047. The reversal of 334545040 is 40545433.

It can be written as a sum of positive squares in 4 ways, for example, as 48664576 + 285880464 = 6976^2 + 16908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3345450402 = 223840767577203200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334545047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121635 + ... + 124354.

It is an arithmetic number, because the mean of its divisors is an integer number (20589363).

Almost surely, 2334545040 is an apocalyptic number.

It is an amenable number.

334545040 is an abundant number, since it is smaller than the sum of its proper divisors (489029480).

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

334545040 is a wasteful number, since it uses less digits than its factorization.

334545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246019 (or 246013 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 334545040 is about 18290.5724350005. The cubic root of 334545040 is about 694.2004088642.

The spelling of 334545040 in words is "three hundred thirty-four million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 245989 491978 983956 1229945 1967912 2459890 3935824 4181813 4919780 8363626 9839560 16727252 19679120 20909065 33454504 41818130 66909008 83636260 167272520 334545040