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344720 = 24531139
BaseRepresentation
bin1010100001010010000
3122111212102
41110022100
542012340
611215532
72634005
oct1241220
9574772
10344720
11215aa2
121475a8
13c0b9c
148d8ac
156c215
hex54290

344720 has 40 divisors (see below), whose sum is σ = 833280. Its totient is φ = 132480.

The previous prime is 344719. The next prime is 344749. The reversal of 344720 is 27443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 344692 and 344701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2411 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2344720 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 344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

344720 is an abundant number, since it is smaller than the sum of its proper divisors (488560).

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

344720 is a wasteful number, since it uses less digits than its factorization.

344720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 344720 is about 587.1286060140. The cubic root of 344720 is about 70.1168117659.

The spelling of 344720 in words is "three hundred forty-four thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 139 155 248 278 310 496 556 620 695 1112 1240 1390 2224 2480 2780 4309 5560 8618 11120 17236 21545 34472 43090 68944 86180 172360 344720