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400494431 = 1517693449
BaseRepresentation
bin10111110111110…
…000111101011111
31000220121020002002
4113313300331133
51310011310211
6103423552515
712632101151
oct2767607537
91026536062
10400494431
11196083437
12b215b73b
1364c8566c
143b292ad1
152526003b
hex17df0f5f

400494431 has 8 divisors (see below), whose sum is σ = 403788000. Its totient is φ = 397209600.

The previous prime is 400494403. The next prime is 400494433. The reversal of 400494431 is 134494004.

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 400494431 - 222 = 396300127 is a prime.

It is a super-3 number, since 3×4004944313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400494394 and 400494403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400494433) 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, 114395 + ... + 117843.

It is an arithmetic number, because the mean of its divisors is an integer number (50473500).

Almost surely, 2400494431 is an apocalyptic number.

400494431 is a deficient number, since it is larger than the sum of its proper divisors (3293569).

400494431 is a wasteful number, since it uses less digits than its factorization.

400494431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 400494431 is about 20012.3569576399. The cubic root of 400494431 is about 737.1097579594.

The spelling of 400494431 in words is "four hundred million, four hundred ninety-four thousand, four hundred thirty-one".

Divisors: 1 151 769 3449 116119 520799 2652281 400494431