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3301930740 = 22351753103593
BaseRepresentation
bin1100010011001111…
…0111011011110100
322112010011110110010
43010303313123310
523230243240430
61303351500220
7144552643143
oct30463673364
98463143403
103301930740
111444943489
12781987670
1340810a094
1423475d75a
15144d34cb0
hexc4cf76f4

3301930740 has 192 divisors, whose sum is σ = 10087773696. Its totient is φ = 803831808.

The previous prime is 3301930739. The next prime is 3301930769. The reversal of 3301930740 is 470391033.

It is a super-3 number, since 3×33019307403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3301930698 and 3301930707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5567884 + ... + 5568476.

It is an arithmetic number, because the mean of its divisors is an integer number (52540488).

Almost surely, 23301930740 is an apocalyptic number.

3301930740 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 3301930740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043886848).

3301930740 is an abundant number, since it is smaller than the sum of its proper divisors (6785842956).

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

3301930740 is a wasteful number, since it uses less digits than its factorization.

3301930740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3301930740 is about 57462.4289427448. The cubic root of 3301930740 is about 1489.0958495214.

The spelling of 3301930740 in words is "three billion, three hundred one million, nine hundred thirty thousand, seven hundred forty".