Search a number
-
+
314342334 = 232232632887
BaseRepresentation
bin10010101111000…
…111101110111110
3210220111020121200
4102233013232332
51120432423314
651105240330
710534602645
oct2257075676
9726436550
10314342334
11151490059
12893330a6
135017cca7
142da6835c
151c8e3709
hex12bc7bbe

314342334 has 48 divisors (see below), whose sum is σ = 713636352. Its totient is φ = 99809424.

The previous prime is 314342323. The next prime is 314342363. The reversal of 314342334 is 433243413.

314342334 is a `hidden beast` number, since 314 + 342 + 3 + 3 + 4 = 666.

314342334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3143423342 = 197622205889135112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314342298 and 314342307.

It is a congruent number.

It is an unprimeable number.

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, 107439 + ... + 110325.

It is an arithmetic number, because the mean of its divisors is an integer number (14867424).

Almost surely, 2314342334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314342334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356818176).

314342334 is an abundant number, since it is smaller than the sum of its proper divisors (399294018).

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

314342334 is a wasteful number, since it uses less digits than its factorization.

314342334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3178 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 314342334 is about 17729.7020279530. The cubic root of 314342334 is about 679.9353557348.

Adding to 314342334 its reverse (433243413), we get a palindrome (747585747).

The spelling of 314342334 in words is "three hundred fourteen million, three hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 263 414 526 789 1578 2367 2887 4734 5774 6049 8661 12098 17322 18147 25983 36294 51966 54441 66401 108882 132802 199203 398406 597609 759281 1195218 1518562 2277843 4555686 6833529 13667058 17463463 34926926 52390389 104780778 157171167 314342334