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3042846720 = 211325137241
BaseRepresentation
bin1011010101011110…
…0010100000000000
321212001122121222200
42311113202200000
522212432043340
61221534433200
7135255525144
oct26527424000
97761577880
103042846720
111321675861
1270b062800
13396536a24
1420c19b224
1512c209330
hexb55e2800

3042846720 has 288 divisors, whose sum is σ = 10667016360. Its totient is φ = 802160640.

The previous prime is 3042846701. The next prime is 3042846727. The reversal of 3042846720 is 276482403.

3042846720 is a `hidden beast` number, since 304 + 284 + 6 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2797986816 + 244859904 = 52896^2 + 15648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×30428467202 = 18517832322829516800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3042846727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12625800 + ... + 12626040.

Almost surely, 23042846720 is an apocalyptic number.

3042846720 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 3042846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333508180).

3042846720 is an abundant number, since it is smaller than the sum of its proper divisors (7624169640).

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

3042846720 is a wasteful number, since it uses less digits than its factorization.

3042846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3042846720 is about 55162.0043145642. The cubic root of 3042846720 is about 1449.0833238980.

The spelling of 3042846720 in words is "three billion, forty-two million, eight hundred forty-six thousand, seven hundred twenty".