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3012054240 = 2535132331677
BaseRepresentation
bin1011001110001000…
…0100110011100000
321202220201012122110
42303202010303200
522132041213430
61214514435320
7134433016146
oct26342046340
97686635573
103012054240
111306253a28
12700892b40
13390045120
14208063596
151296757b0
hexb3884ce0

3012054240 has 384 divisors, whose sum is σ = 11022262272. Its totient is φ = 685301760.

The previous prime is 3012054233. The next prime is 3012054247. The reversal of 3012054240 is 424502103.

It is an interprime number because it is at equal distance from previous prime (3012054233) and next prime (3012054247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012054247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4448782 + ... + 4449458.

It is an arithmetic number, because the mean of its divisors is an integer number (28703808).

Almost surely, 23012054240 is an apocalyptic number.

3012054240 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 3012054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511131136).

3012054240 is an abundant number, since it is smaller than the sum of its proper divisors (8010208032).

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

3012054240 is a wasteful number, since it uses less digits than its factorization.

3012054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3012054240 is about 54882.1850876949. The cubic root of 3012054240 is about 1444.1786802217.

Adding to 3012054240 its reverse (424502103), we get a palindrome (3436556343).

The spelling of 3012054240 in words is "three billion, twelve million, fifty-four thousand, two hundred forty".