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340380 = 223253161
BaseRepresentation
bin1010011000110011100
3122021220200
41103012130
541343010
611143500
72615235
oct1230634
9567820
10340380
11212807
12144b90
13bbc11
148c08c
156acc0
hex5319c

340380 has 72 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 86400.

The previous prime is 340369. The next prime is 340381. The reversal of 340380 is 83043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340381) by changing a digit.

340380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5550 + ... + 5610.

2340380 is an apocalyptic number.

340380 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 340380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632).

340380 is an abundant number, since it is smaller than the sum of its proper divisors (742884).

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

340380 is a wasteful number, since it uses less digits than its factorization.

340380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 340380 is about 583.4209458016. The cubic root of 340380 is about 69.8213129662.

The spelling of 340380 in words is "three hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 61 62 90 93 122 124 155 180 183 186 244 279 305 310 366 372 465 549 558 610 620 732 915 930 1098 1116 1220 1395 1830 1860 1891 2196 2745 2790 3660 3782 5490 5580 5673 7564 9455 10980 11346 17019 18910 22692 28365 34038 37820 56730 68076 85095 113460 170190 340380