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3424440200 = 235227761813
BaseRepresentation
bin1100110000011100…
…1100111110001000
322211122200120211112
43030013030332020
524003124041300
61323445345452
7150601155446
oct31407147610
98748616745
103424440200
1114a8009675
127b6a08288
1342760229c
14246b2db96
15150983e35
hexcc1ccf88

3424440200 has 48 divisors (see below), whose sum is σ = 7990695780. Its totient is φ = 1364808960.

The previous prime is 3424440193. The next prime is 3424440211. The reversal of 3424440200 is 20444243.

It can be written as a sum of positive squares in 6 ways, for example, as 1176352804 + 2248087396 = 34298^2 + 47414^2 .

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, 24494 + ... + 86306.

Almost surely, 23424440200 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 3424440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995347890).

3424440200 is an abundant number, since it is smaller than the sum of its proper divisors (4566255580).

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

3424440200 is a wasteful number, since it uses less digits than its factorization.

3424440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62106 (or 62097 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 3424440200 is about 58518.7166639871. The cubic root of 3424440200 is about 1507.2889970501.

Adding to 3424440200 its reverse (20444243), we get a palindrome (3444884443).

The spelling of 3424440200 in words is "three billion, four hundred twenty-four million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 277 554 1108 1385 2216 2770 5540 6925 11080 13850 27700 55400 61813 123626 247252 309065 494504 618130 1236260 1545325 2472520 3090650 6181300 12362600 17122201 34244402 68488804 85611005 136977608 171222010 342444020 428055025 684888040 856110050 1712220100 3424440200