Search a number
-
+
3124284072 = 2337132176473
BaseRepresentation
bin1011101000111000…
…1100101010101000
322001201220002000220
42322032030222220
522344304042242
61234004130040
7140264655630
oct27216145250
98051802026
103124284072
111363638958
12732396920
133aa37b400
14218d196c0
15134443bec
hexba38caa8

3124284072 has 192 divisors, whose sum is σ = 10236170880. Its totient is φ = 775397376.

The previous prime is 3124284061. The next prime is 3124284077. The reversal of 3124284072 is 2704824213.

It is a happy number.

It is a super-2 number, since 2×31242840722 = 19522301925105802368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3124284077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479428 + ... + 485900.

It is an arithmetic number, because the mean of its divisors is an integer number (53313390).

Almost surely, 23124284072 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 3124284072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118085440).

3124284072 is an abundant number, since it is smaller than the sum of its proper divisors (7111886808).

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

3124284072 is a wasteful number, since it uses less digits than its factorization.

3124284072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 3124284072 is about 55895.2956159997. The cubic root of 3124284072 is about 1461.8972133169.

The spelling of 3124284072 in words is "three billion, one hundred twenty-four million, two hundred eighty-four thousand, seventy-two".