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344288 = 2572953
BaseRepresentation
bin1010100000011100000
3122111021102
41110003200
542004123
611213532
72632520
oct1240340
9574242
10344288
1121573a
121472a8
13c0929
148d680
156c028
hex540e0

344288 has 48 divisors (see below), whose sum is σ = 816480. Its totient is φ = 139776.

The previous prime is 344273. The next prime is 344291. The reversal of 344288 is 882443.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 344288.

It is a congruent number.

It is an unprimeable number.

344288 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, 6470 + ... + 6522.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2344288 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 344288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

344288 is an abundant number, since it is smaller than the sum of its proper divisors (472192).

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

344288 is a wasteful number, since it uses less digits than its factorization.

344288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 344288 is about 586.7605985408. The cubic root of 344288 is about 70.0875096030.

The spelling of 344288 in words is "three hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 106 112 116 203 212 224 232 371 406 424 464 742 812 848 928 1484 1537 1624 1696 2968 3074 3248 5936 6148 6496 10759 11872 12296 21518 24592 43036 49184 86072 172144 344288