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3009948084 = 223211213232311
BaseRepresentation
bin1011001101101000…
…0010100110110100
321202202202012112200
42303122002212310
522131021314314
61214401344500
7134406064563
oct26332024664
97682665480
103009948084
111305045600
12700038130
1338c788590
14207a75bda
151293ab709
hexb36829b4

3009948084 has 216 divisors, whose sum is σ = 9401997696. Its totient is φ = 804988800.

The previous prime is 3009948083. The next prime is 3009948119. The reversal of 3009948084 is 4808499003.

It is a happy number.

3009948084 is a `hidden beast` number, since 3 + 0 + 0 + 99 + 480 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009948083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1301289 + ... + 1303599.

Almost surely, 23009948084 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 3009948084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700998848).

3009948084 is an abundant number, since it is smaller than the sum of its proper divisors (6392049612).

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

3009948084 is a wasteful number, since it uses less digits than its factorization.

3009948084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3009948084 is about 54862.9937571766. The cubic root of 3009948084 is about 1443.8419914174.

The spelling of 3009948084 in words is "three billion, nine million, nine hundred forty-eight thousand, eighty-four".