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334628 = 227171937
BaseRepresentation
bin1010001101100100100
3122000000122
41101230210
541202003
611101112
72562410
oct1215444
9560018
10334628
11209458
12141798
13b9408
1489d40
1569238
hex51b24

334628 has 48 divisors (see below), whose sum is σ = 766080. Its totient is φ = 124416.

The previous prime is 334619. The next prime is 334637. The reversal of 334628 is 826433.

It is an interprime number because it is at equal distance from previous prime (334619) and next prime (334637).

It is a super-2 number, since 2×3346282 = 223951796768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334597 and 334606.

It is an unprimeable number.

334628 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 15 ways as a sum of consecutive naturals, for example, 9026 + ... + 9062.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2334628 is an apocalyptic number.

334628 is a gapful number since it is divisible by the number (38) 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 334628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

334628 is an abundant number, since it is smaller than the sum of its proper divisors (431452).

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

334628 is a wasteful number, since it uses less digits than its factorization.

334628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 334628 is about 578.4703968225. The cubic root of 334628 is about 69.4257786396.

The spelling of 334628 in words is "three hundred thirty-four thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 37 38 68 74 76 119 133 148 238 259 266 323 476 518 532 629 646 703 1036 1258 1292 1406 2261 2516 2812 4403 4522 4921 8806 9044 9842 11951 17612 19684 23902 47804 83657 167314 334628