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314310438 = 2321310912323
BaseRepresentation
bin10010101110111…
…111111100100110
3210220102121212100
4102232333330212
51120430413223
651104432530
710534410651
oct2256777446
9726377770
10314310438
111514690a2
1289318746
135016b610
142da5a898
151c8d9043
hex12bbff26

314310438 has 48 divisors (see below), whose sum is σ = 740179440. Its totient is φ = 95815872.

The previous prime is 314310431. The next prime is 314310463. The reversal of 314310438 is 834013413.

314310438 is a `hidden beast` number, since 314 + 310 + 4 + 38 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314310431) 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 23 ways as a sum of consecutive naturals, for example, 19345 + ... + 31667.

It is an arithmetic number, because the mean of its divisors is an integer number (15420405).

Almost surely, 2314310438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314310438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370089720).

314310438 is an abundant number, since it is smaller than the sum of its proper divisors (425869002).

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

314310438 is a wasteful number, since it uses less digits than its factorization.

314310438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 314310438 is about 17728.8024976308. The cubic root of 314310438 is about 679.9123575051.

The spelling of 314310438 in words is "three hundred fourteen million, three hundred ten thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 981 1417 1962 2834 4251 8502 12323 12753 24646 25506 36969 73938 110907 160199 221814 320398 480597 961194 1343207 1441791 2686414 2883582 4029621 8059242 12088863 17461691 24177726 34923382 52385073 104770146 157155219 314310438