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334280 = 23561137
BaseRepresentation
bin1010001100111001000
3121222112202
41101213020
541144110
611055332
72561402
oct1214710
9558482
10334280
11209171
12141548
13b91cb
1489b72
15690a5
hex519c8

334280 has 32 divisors (see below), whose sum is σ = 770040. Its totient is φ = 130560.

The previous prime is 334261. The next prime is 334289. The reversal of 334280 is 82433.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 145924 = 434^2 + 382^2 .

It is a super-2 number, since 2×3342802 = 223486236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 39 + 39 + 2 + 49 + 85 + 0 .

It is not an unprimeable number, because it can be changed into a prime (334289) by changing a digit.

334280 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 7 ways as a sum of consecutive naturals, for example, 2372 + ... + 2508.

2334280 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 334280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385020).

334280 is an abundant number, since it is smaller than the sum of its proper divisors (435760).

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

334280 is a wasteful number, since it uses less digits than its factorization.

334280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 334280 is about 578.1695253124. The cubic root of 334280 is about 69.4017035961.

The spelling of 334280 in words is "three hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 137 244 274 305 488 548 610 685 1096 1220 1370 2440 2740 5480 8357 16714 33428 41785 66856 83570 167140 334280