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314050122 = 2345379463
BaseRepresentation
bin10010101110000…
…000011001001010
3210212221101210000
4102232000121022
51120344100442
651055103430
710532245011
oct2256003112
9725841700
10314050122
11151300561
1289211b76
13500a9c99
142d9cda78
151c886d4c
hex12b8064a

314050122 has 80 divisors (see below), whose sum is σ = 727626240. Its totient is φ = 101189088.

The previous prime is 314050109. The next prime is 314050133. The reversal of 314050122 is 221050413.

314050122 is a `hidden beast` number, since 3 + 140 + 501 + 22 = 666.

314050122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314050095 and 314050104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 678063 + ... + 678525.

It is an arithmetic number, because the mean of its divisors is an integer number (9095328).

Almost surely, 2314050122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314050122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363813120).

314050122 is an abundant number, since it is smaller than the sum of its proper divisors (413576118).

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

314050122 is a wasteful number, since it uses less digits than its factorization.

314050122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 314050122 is about 17721.4593642849. The cubic root of 314050122 is about 679.7246015704.

The spelling of 314050122 in words is "three hundred fourteen million, fifty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 79 81 106 158 159 162 237 318 463 474 477 711 926 954 1389 1422 1431 2133 2778 2862 4167 4187 4266 4293 6399 8334 8374 8586 12501 12561 12798 24539 25002 25122 36577 37503 37683 49078 73154 73617 75006 75366 109731 113049 147234 219462 220851 226098 329193 339147 441702 658386 662553 678294 987579 1325106 1938581 1975158 1987659 2962737 3877162 3975318 5815743 5925474 11631486 17447229 34894458 52341687 104683374 157025061 314050122