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314423340 = 2235711223269
BaseRepresentation
bin10010101111011…
…011100000101100
3210220122100201220
4102233123200230
51120443021330
651111103340
710535361060
oct2257334054
9726570656
10314423340
11151535a00
1289371b50
13501aab1a
142da89aa0
151c90c710
hex12bdb82c

314423340 has 288 divisors, whose sum is σ = 1158312960. Its totient is φ = 62261760.

The previous prime is 314423323. The next prime is 314423371. The reversal of 314423340 is 43324413.

It is a self number, because there is not a number n which added to its sum of digits gives 314423340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1168726 + ... + 1168994.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2314423340 is an apocalyptic number.

314423340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

314423340 is an abundant number, since it is smaller than the sum of its proper divisors (843889620).

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

314423340 is a wasteful number, since it uses less digits than its factorization.

314423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 314423340 is about 17731.9863523521. The cubic root of 314423340 is about 679.9937571515.

Adding to 314423340 its reverse (43324413), we get a palindrome (357747753).

The spelling of 314423340 in words is "three hundred fourteen million, four hundred twenty-three thousand, three hundred forty".