Search a number
-
+
3121296858 = 2321928132479
BaseRepresentation
bin1011101000001011…
…0011010111011010
322001112021022100100
42322002303113122
522343022444413
61233420120230
7140230404561
oct27202632732
98045238310
103121296858
111361988589
12731396076
133a9873824
1421877cbd8
15134053a73
hexba0b35da

3121296858 has 48 divisors (see below), whose sum is σ = 7144300800. Its totient is φ = 982134720.

The previous prime is 3121296851. The next prime is 3121296869. The reversal of 3121296858 is 8586921213.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3121296851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79863 + ... + 112341.

It is an arithmetic number, because the mean of its divisors is an integer number (148839600).

Almost surely, 23121296858 is an apocalyptic number.

3121296858 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121296858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572150400).

3121296858 is an abundant number, since it is smaller than the sum of its proper divisors (4023003942).

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

3121296858 is a wasteful number, since it uses less digits than its factorization.

3121296858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32787 (or 32784 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 3121296858 is about 55868.5677102966. The cubic root of 3121296858 is about 1461.4311446897.

The spelling of 3121296858 in words is "three billion, one hundred twenty-one million, two hundred ninety-six thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 281 342 562 843 1686 2529 5058 5339 10678 16017 32034 32479 48051 64958 96102 97437 194874 292311 584622 617101 1234202 1851303 3702606 5553909 9126599 11107818 18253198 27379797 54759594 82139391 164278782 173405381 346810762 520216143 1040432286 1560648429 3121296858