Search a number
-
+
340120 = 23511773
BaseRepresentation
bin1010011000010011000
3122021120001
41103002120
541340440
611142344
72614414
oct1230230
9567501
10340120
112125a0
121449b4
13bba71
148bd44
156ab9a
hex53098

340120 has 32 divisors (see below), whose sum is σ = 835920. Its totient is φ = 123520.

The previous prime is 340117. The next prime is 340121. The reversal of 340120 is 21043.

340120 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 2×3401202 = 231363228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 340097 and 340106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54 + ... + 826.

2340120 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 340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417960).

340120 is an abundant number, since it is smaller than the sum of its proper divisors (495800).

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

340120 is a wasteful number, since it uses less digits than its factorization.

340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 340120 is about 583.1980795579. The cubic root of 340120 is about 69.8035307174.

Adding to 340120 its reverse (21043), we get a palindrome (361163).

The spelling of 340120 in words is "three hundred forty thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 773 1546 3092 3865 6184 7730 8503 15460 17006 30920 34012 42515 68024 85030 170060 340120