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400334241 = 31729270679
BaseRepresentation
bin10111110111001…
…001110110100001
31000220022002100010
4113313021312201
51304441143431
6103420315133
712630533136
oct2767116641
91026262303
10400334241
11195a8404a
12b20a2aa9
1364c2a788
143b25058d
152522c846
hex17dc9da1

400334241 has 16 divisors (see below), whose sum is σ = 584668800. Its totient is φ = 242527488.

The previous prime is 400334213. The next prime is 400334261. The reversal of 400334241 is 142433004.

It is not a de Polignac number, because 400334241 - 214 = 400317857 is a prime.

It is a super-3 number, since 3×4003342413 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400334201) 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 15 ways as a sum of consecutive naturals, for example, 133861 + ... + 136818.

It is an arithmetic number, because the mean of its divisors is an integer number (36541800).

Almost surely, 2400334241 is an apocalyptic number.

It is an amenable number.

400334241 is a deficient number, since it is larger than the sum of its proper divisors (184334559).

400334241 is a wasteful number, since it uses less digits than its factorization.

400334241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270728.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 400334241 is about 20008.3542801501. The cubic root of 400334241 is about 737.0114683209.

Adding to 400334241 its reverse (142433004), we get a palindrome (542767245).

The spelling of 400334241 in words is "four hundred million, three hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 17 29 51 87 493 1479 270679 812037 4601543 7849691 13804629 23549073 133444747 400334241