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3330013140 = 22335231971361
BaseRepresentation
bin1100011001111011…
…1111011111010100
322121002000012021000
43012132333133110
523304440410030
61310233423300
7145343434056
oct30636773724
98532005230
103330013140
111459784183
1278b26ab30
13410b9029c
1423838d8d6
15147530860
hexc67bf7d4

3330013140 has 192 divisors, whose sum is σ = 10873336320. Its totient is φ = 844462080.

The previous prime is 3330013133. The next prime is 3330013147. The reversal of 3330013140 is 413100333.

It is an interprime number because it is at equal distance from previous prime (3330013133) and next prime (3330013147).

It is a super-2 number, since 2×33300131402 = 22177975025145319200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330013147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2446060 + ... + 2447420.

It is an arithmetic number, because the mean of its divisors is an integer number (56631960).

Almost surely, 23330013140 is an apocalyptic number.

3330013140 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 3330013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436668160).

3330013140 is an abundant number, since it is smaller than the sum of its proper divisors (7543323180).

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

3330013140 is a wasteful number, since it uses less digits than its factorization.

3330013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3330013140 is about 57706.2660375804. The cubic root of 3330013140 is about 1493.3054464171.

Adding to 3330013140 its reverse (413100333), we get a palindrome (3743113473).

The spelling of 3330013140 in words is "three billion, three hundred thirty million, thirteen thousand, one hundred forty".