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3000031200 = 2532523113441
BaseRepresentation
bin1011001011010000…
…1101011111100000
321202002002101010200
42302310031133200
522121001444300
61213405025200
7134225562435
oct26264153740
97662071120
103000031200
1112aa491931
126b8855200
1338a6c57ba
14206613b8c
1512859d200
hexb2d0d7e0

3000031200 has 216 divisors, whose sum is σ = 10920926016. Its totient is φ = 774144000.

The previous prime is 3000031189. The next prime is 3000031219. The reversal of 3000031200 is 21300003.

It is a happy number.

3000031200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216480 + ... + 229920.

Almost surely, 23000031200 is an apocalyptic number.

3000031200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460463008).

3000031200 is an abundant number, since it is smaller than the sum of its proper divisors (7920894816).

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

3000031200 is a wasteful number, since it uses less digits than its factorization.

3000031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13498 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3000031200 is about 54772.5405655060. The cubic root of 3000031200 is about 1442.2545700886.

Adding to 3000031200 its reverse (21300003), we get a palindrome (3021331203).

The spelling of 3000031200 in words is "three billion, thirty-one thousand, two hundred".