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3342474720 = 253551317389
BaseRepresentation
bin1100011100111010…
…0001110111100000
322121221110022100000
43013032201313200
523321133142340
61311400500000
7145554365154
oct30716416740
98557408300
103342474720
111465815802
1279347a600
134136343c0
14239cb5064
15148692d30
hexc73a1de0

3342474720 has 576 divisors, whose sum is σ = 13522541760. Its totient is φ = 772374528.

The previous prime is 3342474719. The next prime is 3342474727. The reversal of 3342474720 is 274742433.

3342474720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33424747202 = 22344274507678156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342474727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8592286 + ... + 8592674.

It is an arithmetic number, because the mean of its divisors is an integer number (23476635).

Almost surely, 23342474720 is an apocalyptic number.

3342474720 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 3342474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761270880).

3342474720 is an abundant number, since it is smaller than the sum of its proper divisors (10180067040).

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

3342474720 is a wasteful number, since it uses less digits than its factorization.

3342474720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 3342474720 is about 57814.1394470245. The cubic root of 3342474720 is about 1495.1658775762.

The spelling of 3342474720 in words is "three billion, three hundred forty-two million, four hundred seventy-four thousand, seven hundred twenty".