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400000314 = 23723547757
BaseRepresentation
bin10111110101111…
…000010100111010
31000212200010021110
4113311320110322
51304400002224
6103405221150
712624642450
oct2765702472
91025603243
10400000314
1119587617a
12b1b617b6
1364b4179c
143b1a49d0
15251b3929
hex17d7853a

400000314 has 64 divisors (see below), whose sum is σ = 957044736. Its totient is φ = 108972864.

The previous prime is 400000309. The next prime is 400000333. The reversal of 400000314 is 413000004.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 400000314.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 528024 + ... + 528780.

It is an arithmetic number, because the mean of its divisors is an integer number (14953824).

Almost surely, 2400000314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400000314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478522368).

400000314 is an abundant number, since it is smaller than the sum of its proper divisors (557044422).

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

400000314 is a wasteful number, since it uses less digits than its factorization.

400000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400000314 is about 20000.0078499985. The cubic root of 400000314 is about 736.8064925257.

Adding to 400000314 its reverse (413000004), we get a palindrome (813000318).

The spelling of 400000314 in words is "four hundred million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 547 757 966 1094 1514 1641 2271 3282 3829 4542 5299 7658 10598 11487 12581 15897 17411 22974 25162 31794 34822 37743 52233 75486 88067 104466 121877 176134 243754 264201 365631 414079 528402 731262 828158 1242237 2484474 2898553 5797106 8695659 9523817 17391318 19047634 28571451 57142902 66666719 133333438 200000157 400000314