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340290 = 232519199
BaseRepresentation
bin1010011000101000010
3122021210100
41103011002
541342130
611143230
72615046
oct1230502
9567710
10340290
11212735
12144b16
13bbb72
148c026
156ac60
hex53142

340290 has 48 divisors (see below), whose sum is σ = 936000. Its totient is φ = 85536.

The previous prime is 340283. The next prime is 340297. The reversal of 340290 is 92043.

340290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (340283) and next prime (340297).

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

It is an Ulam number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (340297) 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 23 ways as a sum of consecutive naturals, for example, 1611 + ... + 1809.

It is an arithmetic number, because the mean of its divisors is an integer number (19500).

2340290 is an apocalyptic number.

340290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468000).

340290 is an abundant number, since it is smaller than the sum of its proper divisors (595710).

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

340290 is a wasteful number, since it uses less digits than its factorization.

340290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 340290 is about 583.3438094297. The cubic root of 340290 is about 69.8151585975.

It can be divided in two parts, 340 and 290, that added together give a triangular number (630 = T35).

The spelling of 340290 in words is "three hundred forty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 199 285 342 398 570 597 855 995 1194 1710 1791 1990 2985 3582 3781 5970 7562 8955 11343 17910 18905 22686 34029 37810 56715 68058 113430 170145 340290