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3001245300 = 223252101137241
BaseRepresentation
bin1011001011100011…
…0101111001110100
321202011101001120100
42302320311321310
522121304322200
61213451034100
7134242110204
oct26270657164
97664331510
103001245300
111300141019
126b913b930
1338aa2c2c1
1420684c404
1512873cd00
hexb2e35e74

3001245300 has 216 divisors, whose sum is σ = 9609431832. Its totient is φ = 783360000.

The previous prime is 3001245283. The next prime is 3001245311. The reversal of 3001245300 is 35421003.

It can be written as a sum of positive squares in 12 ways, for example, as 12873744 + 2988371556 = 3588^2 + 54666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12453180 + ... + 12453420.

Almost surely, 23001245300 is an apocalyptic number.

3001245300 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 3001245300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804715916).

3001245300 is an abundant number, since it is smaller than the sum of its proper divisors (6608186532).

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

3001245300 is a wasteful number, since it uses less digits than its factorization.

3001245300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3001245300 is about 54783.6225527301. The cubic root of 3001245300 is about 1442.4491019670.

Adding to 3001245300 its reverse (35421003), we get a palindrome (3036666303).

The spelling of 3001245300 in words is "three billion, one million, two hundred forty-five thousand, three hundred".