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334248 = 23319733
BaseRepresentation
bin1010001100110101000
3121222111120
41101212220
541143443
611055240
72561325
oct1214650
9558446
10334248
11209142
12141520
13b91a5
1489b4c
1569083
hex519a8

334248 has 32 divisors (see below), whose sum is σ = 880800. Its totient is φ = 105408.

The previous prime is 334247. The next prime is 334261. The reversal of 334248 is 842433.

It is a super-2 number, since 2×3342482 = 223443451008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3 + 38 + 215 + 4 + 49 + 85 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334248.

It is not an unprimeable number, because it can be changed into a prime (334247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (27525).

2334248 is an apocalyptic number.

334248 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 334248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440400).

334248 is an abundant number, since it is smaller than the sum of its proper divisors (546552).

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

334248 is a wasteful number, since it uses less digits than its factorization.

334248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 334248 is about 578.1418511058. The cubic root of 334248 is about 69.3994889602.

The spelling of 334248 in words is "three hundred thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 733 1466 2199 2932 4398 5864 8796 13927 17592 27854 41781 55708 83562 111416 167124 334248