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400365641 = 1337832361
BaseRepresentation
bin10111110111010…
…001100001001001
31000220100200102002
4113313101201021
51304443200031
6103421120345
712631023524
oct2767214111
91026320362
10400365641
11195aa56a5
12b20b90b5
1364c3bb60
143b25bbbb
1525236ccb
hex17dd1849

400365641 has 8 divisors (see below), whose sum is σ = 442816584. Its totient is φ = 359579520.

The previous prime is 400365629. The next prime is 400365643. The reversal of 400365641 is 146563004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69889600 + 330476041 = 8360^2 + 18179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400365641 - 210 = 400364617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400365643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415700 + ... + 416661.

It is an arithmetic number, because the mean of its divisors is an integer number (55352073).

Almost surely, 2400365641 is an apocalyptic number.

It is an amenable number.

400365641 is a deficient number, since it is larger than the sum of its proper divisors (42450943).

400365641 is a wasteful number, since it uses less digits than its factorization.

400365641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832411.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 400365641 is about 20009.1389369958. The cubic root of 400365641 is about 737.0307368493.

The spelling of 400365641 in words is "four hundred million, three hundred sixty-five thousand, six hundred forty-one".

Divisors: 1 13 37 481 832361 10820693 30797357 400365641