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314400443 = 7337133277
BaseRepresentation
bin10010101111010…
…101111010111011
3210220121012022212
4102233111322323
51120441303233
651110405335
710535234240
oct2257257273
9726535285
10314400443
1115151a785
128936084b
13501a0586
142da815c7
151c905a48
hex12bd5ebb

314400443 has 8 divisors (see below), whose sum is σ = 360383712. Its totient is φ = 268684416.

The previous prime is 314400413. The next prime is 314400451. The reversal of 314400443 is 344004413.

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

It is not a de Polignac number, because 314400443 - 218 = 314138299 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314400413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64280 + ... + 68997.

It is an arithmetic number, because the mean of its divisors is an integer number (45047964).

Almost surely, 2314400443 is an apocalyptic number.

314400443 is a deficient number, since it is larger than the sum of its proper divisors (45983269).

314400443 is a wasteful number, since it uses less digits than its factorization.

314400443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133621.

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 314400443 is about 17731.3406994508. The cubic root of 314400443 is about 679.9772505365.

Adding to 314400443 its reverse (344004413), we get a palindrome (658404856).

The spelling of 314400443 in words is "three hundred fourteen million, four hundred thousand, four hundred forty-three".

Divisors: 1 7 337 2359 133277 932939 44914349 314400443