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344442100 = 225217202613
BaseRepresentation
bin10100100001111…
…100010011110100
3220000010110201211
4110201330103310
51201134121400
654102331204
711351465242
oct2441742364
9800113654
10344442100
111674794a2
1297429b04
135648b4c2
1433a61792
152038bdba
hex1487c4f4

344442100 has 36 divisors (see below), whose sum is σ = 791410284. Its totient is φ = 129671680.

The previous prime is 344442067. The next prime is 344442113. The reversal of 344442100 is 1244443.

It can be written as a sum of positive squares in 6 ways, for example, as 116964 + 344325136 = 342^2 + 18556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99607 + ... + 103006.

It is an arithmetic number, because the mean of its divisors is an integer number (21983619).

Almost surely, 2344442100 is an apocalyptic number.

It is an amenable number.

344442100 is an abundant number, since it is smaller than the sum of its proper divisors (446968184).

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

344442100 is a wasteful number, since it uses less digits than its factorization.

344442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202644 (or 202637 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 344442100 is about 18559.1513814614. The cubic root of 344442100 is about 700.9796487519.

Adding to 344442100 its reverse (1244443), we get a palindrome (345686543).

The spelling of 344442100 in words is "three hundred forty-four million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 202613 405226 810452 1013065 2026130 3444421 4052260 5065325 6888842 10130650 13777684 17222105 20261300 34444210 68888420 86110525 172221050 344442100