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940401 = 327112359
BaseRepresentation
bin11100101100101110001
31202202222200
43211211301
5220043101
632053413
710664460
oct3454561
91682880
10940401
115925a0
12394269
1326c067
141a69d7
15138986
hexe5971

940401 has 48 divisors (see below), whose sum is σ = 1797120. Its totient is φ = 459360.

The previous prime is 940399. The next prime is 940403. The reversal of 940401 is 104049.

It is an interprime number because it is at equal distance from previous prime (940399) and next prime (940403).

It is not a de Polignac number, because 940401 - 21 = 940399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (940403) 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 47 ways as a sum of consecutive naturals, for example, 15910 + ... + 15968.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2940401 is an apocalyptic number.

It is an amenable number.

940401 is a deficient number, since it is larger than the sum of its proper divisors (856719).

940401 is a wasteful number, since it uses less digits than its factorization.

940401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 940401 is about 969.7427493928. The cubic root of 940401 is about 97.9725384668.

It can be divided in two parts, 9 and 40401, that multiplied together give a square (363609 = 6032).

The spelling of 940401 in words is "nine hundred forty thousand, four hundred one".

Divisors: 1 3 7 9 11 21 23 33 59 63 69 77 99 161 177 207 231 253 413 483 531 649 693 759 1239 1357 1449 1771 1947 2277 3717 4071 4543 5313 5841 9499 12213 13629 14927 15939 28497 40887 44781 85491 104489 134343 313467 940401