Search a number
-
+
344472 = 23331463
BaseRepresentation
bin1010100000110011000
3122111112020
41110012120
542010342
611214440
72633202
oct1240630
9574466
10344472
11215897
12147420
13c0a3b
148d772
156c0ec
hex54198

344472 has 32 divisors (see below), whose sum is σ = 890880. Its totient is φ = 110880.

The previous prime is 344453. The next prime is 344479. The reversal of 344472 is 274443.

It is a super-3 number, since 3×3444723 = 122626133382726144, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344479) 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 7 ways as a sum of consecutive naturals, for example, 513 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (27840).

2344472 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 344472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445440).

344472 is an abundant number, since it is smaller than the sum of its proper divisors (546408).

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

344472 is a wasteful number, since it uses less digits than its factorization.

344472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 344472 is about 586.9173706750. The cubic root of 344472 is about 70.0999931488.

The spelling of 344472 in words is "three hundred forty-four thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 463 744 926 1389 1852 2778 3704 5556 11112 14353 28706 43059 57412 86118 114824 172236 344472