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3002421200 = 245231323981
BaseRepresentation
bin1011001011110101…
…0100111111010000
321202020120210121012
42302331110333100
522122104434300
61213532150052
7134255105402
oct26275247720
97666523535
103002421200
111300874539
126b9608328
1338b0515bc
14206a76b72
151288c1435
hexb2f54fd0

3002421200 has 60 divisors (see below), whose sum is σ = 7236664428. Its totient is φ = 1197081600.

The previous prime is 3002421181. The next prime is 3002421209. The reversal of 3002421200 is 21242003.

It can be written as a sum of positive squares in 6 ways, for example, as 1791659584 + 1210761616 = 42328^2 + 34796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002421209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113210 + ... + 137190.

Almost surely, 23002421200 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 3002421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618332214).

3002421200 is an abundant number, since it is smaller than the sum of its proper divisors (4234243228).

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

3002421200 is a wasteful number, since it uses less digits than its factorization.

3002421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24312 (or 24301 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3002421200 is about 54794.3537237187. The cubic root of 3002421200 is about 1442.6374631587.

Adding to 3002421200 its reverse (21242003), we get a palindrome (3023663203).

The spelling of 3002421200 in words is "three billion, two million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 313 400 626 1252 1565 2504 3130 5008 6260 7825 12520 15650 23981 25040 31300 47962 62600 95924 119905 125200 191848 239810 383696 479620 599525 959240 1199050 1918480 2398100 4796200 7506053 9592400 15012106 30024212 37530265 60048424 75060530 120096848 150121060 187651325 300242120 375302650 600484240 750605300 1501210600 3002421200