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3045613824 = 28331141977
BaseRepresentation
bin1011010110001000…
…0110000100000000
321212020212012202000
42311202012010000
522214134120244
61222114024000
7135321201411
oct26542060400
97766765660
103045613824
111323195820
1270bb78000
13396c95376
1420c6bb808
1512c5a4169
hexb5886100

3045613824 has 288 divisors, whose sum is σ = 10075121280. Its totient is φ = 899481600.

The previous prime is 3045613741. The next prime is 3045613829. The reversal of 3045613824 is 4283165403.

3045613824 is a `hidden beast` number, since 30 + 4 + 5 + 613 + 8 + 2 + 4 = 666.

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

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 (3045613829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3116824 + ... + 3117800.

It is an arithmetic number, because the mean of its divisors is an integer number (34983060).

Almost surely, 23045613824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037560640).

3045613824 is an abundant number, since it is smaller than the sum of its proper divisors (7029507456).

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

3045613824 is a wasteful number, since it uses less digits than its factorization.

3045613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3045613824 is about 55187.0802271691. The cubic root of 3045613824 is about 1449.5224466207.

The spelling of 3045613824 in words is "three billion, forty-five million, six hundred thirteen thousand, eight hundred twenty-four".