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344420 = 225171013
BaseRepresentation
bin1010100000101100100
3122111110022
41110011210
542010140
611214312
72633066
oct1240544
9574408
10344420
1121584a
12147398
13c09cb
148d736
156c0b5
hex54164

344420 has 24 divisors (see below), whose sum is σ = 766584. Its totient is φ = 129536.

The previous prime is 344417. The next prime is 344423. The reversal of 344420 is 24443.

344420 = T125 + T126 + ... + T158.

It is an interprime number because it is at equal distance from previous prime (344417) and next prime (344423).

It can be written as a sum of positive squares in 4 ways, for example, as 3364 + 341056 = 58^2 + 584^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344420.

It is not an unprimeable number, because it can be changed into a prime (344423) 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, 167 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (31941).

2344420 is an apocalyptic number.

It is an amenable number.

344420 is an abundant number, since it is smaller than the sum of its proper divisors (422164).

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

344420 is a wasteful number, since it uses less digits than its factorization.

344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 344420 is about 586.8730697519. The cubic root of 344420 is about 70.0964656410.

Adding to 344420 its reverse (24443), we get a palindrome (368863).

The spelling of 344420 in words is "three hundred forty-four thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1013 2026 4052 5065 10130 17221 20260 34442 68884 86105 172210 344420