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314340 = 223513231
BaseRepresentation
bin1001100101111100100
3120222012020
41030233210
540024330
610423140
72446305
oct1145744
9528166
10314340
111a5194
12131ab0
13b0100
14827ac
1563210
hex4cbe4

314340 has 72 divisors (see below), whose sum is σ = 983808. Its totient is φ = 74880.

The previous prime is 314339. The next prime is 314351. The reversal of 314340 is 43413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314340.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10125 + ... + 10155.

It is an arithmetic number, because the mean of its divisors is an integer number (13664).

2314340 is an apocalyptic number.

314340 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 314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491904).

314340 is an abundant number, since it is smaller than the sum of its proper divisors (669468).

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

314340 is a wasteful number, since it uses less digits than its factorization.

314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 314340 is about 560.6603249740. The cubic root of 314340 is about 67.9933672885.

Adding to 314340 its reverse (43413), we get a palindrome (357753).

It can be divided in two parts, 31 and 4340, that added together give a triangular number (4371 = T93).

The spelling of 314340 in words is "three hundred fourteen thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 186 195 260 310 338 372 390 403 465 507 620 676 780 806 845 930 1014 1209 1612 1690 1860 2015 2028 2418 2535 3380 4030 4836 5070 5239 6045 8060 10140 10478 12090 15717 20956 24180 26195 31434 52390 62868 78585 104780 157170 314340