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344340200 = 23522959369
BaseRepresentation
bin10100100001100…
…011011011101000
3212222221021221202
4110201203123220
51201122341300
654100223332
711350562201
oct2441433350
9788837852
10344340200
11167409986
129739ab48
1356453cc9
1433a365a8
152036bad5
hex148636e8

344340200 has 48 divisors (see below), whose sum is σ = 828211500. Its totient is φ = 132984320.

The previous prime is 344340193. The next prime is 344340233. The reversal of 344340200 is 2043443.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42484324 + 301855876 = 6518^2 + 17374^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23885 + ... + 35484.

Almost surely, 2344340200 is an apocalyptic number.

It is an amenable number.

344340200 is an abundant number, since it is smaller than the sum of its proper divisors (483871300).

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

344340200 is a wasteful number, since it uses less digits than its factorization.

344340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59414 (or 59405 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 344340200 is about 18556.4059020059. The cubic root of 344340200 is about 700.9105158252.

Adding to 344340200 its reverse (2043443), we get a palindrome (346383643).

The spelling of 344340200 in words is "three hundred forty-four million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 59369 118738 237476 296845 474952 593690 1187380 1484225 1721701 2374760 2968450 3443402 5936900 6886804 8608505 11873800 13773608 17217010 34434020 43042525 68868040 86085050 172170100 344340200