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334020 = 223519293
BaseRepresentation
bin1010001100011000100
3121222012010
41101203010
541142040
611054220
72560551
oct1214304
9558163
10334020
11208a55
12141370
13b905b
1489a28
1568e80
hex518c4

334020 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 84096.

The previous prime is 333997. The next prime is 334021. The reversal of 334020 is 20433.

It is a super-2 number, since 2×3340202 = 223138720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 333987 and 334005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334021) by changing a digit.

334020 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 994 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2334020 is an apocalyptic number.

334020 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 334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

334020 is an abundant number, since it is smaller than the sum of its proper divisors (653820).

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

334020 is a wasteful number, since it uses less digits than its factorization.

334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 334020 is about 577.9446340265. The cubic root of 334020 is about 69.3837055872.

Adding to 334020 its reverse (20433), we get a palindrome (354453).

The spelling of 334020 in words is "three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 293 380 570 586 879 1140 1172 1465 1758 2930 3516 4395 5567 5860 8790 11134 16701 17580 22268 27835 33402 55670 66804 83505 111340 167010 334020