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340272 = 243217139
BaseRepresentation
bin1010011000100110000
3122021202200
41103010300
541342042
611143200
72615022
oct1230460
9567680
10340272
11212719
12144b00
13bbb5a
148c012
156ac4c
hex53130

340272 has 60 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 105984.

The previous prime is 340267. The next prime is 340283. The reversal of 340272 is 272043.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2379 + ... + 2517.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2340272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

340272 is an abundant number, since it is smaller than the sum of its proper divisors (675288).

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

340272 is a wasteful number, since it uses less digits than its factorization.

340272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 340272 is about 583.3283809314. The cubic root of 340272 is about 69.8139275935.

The spelling of 340272 in words is "three hundred forty thousand, two hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 139 144 153 204 272 278 306 408 417 556 612 816 834 1112 1224 1251 1668 2224 2363 2448 2502 3336 4726 5004 6672 7089 9452 10008 14178 18904 20016 21267 28356 37808 42534 56712 85068 113424 170136 340272