Search a number
-
+
3006962064 = 243282925189
BaseRepresentation
bin1011001100111010…
…1001100110010000
321202120010111111100
42303032221212100
522124240241224
61214213344400
7134341520151
oct26316514620
97676114440
103006962064
111303396117
126bb038100
1338bc813c2
142074d9928
15128ebbac9
hexb33a9990

3006962064 has 60 divisors (see below), whose sum is σ = 8425803100. Its totient is φ = 1001071872.

The previous prime is 3006962051. The next prime is 3006962107. The reversal of 3006962064 is 4602696003.

It can be written as a sum of positive squares in 2 ways, for example, as 2439569664 + 567392400 = 49392^2 + 23820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106782 + ... + 131970.

Almost surely, 23006962064 is an apocalyptic number.

It is an amenable number.

3006962064 is an abundant number, since it is smaller than the sum of its proper divisors (5418841036).

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

3006962064 is a wasteful number, since it uses less digits than its factorization.

3006962064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26032 (or 26023 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3006962064 is about 54835.7735789329. The cubic root of 3006962064 is about 1443.3643788010.

The spelling of 3006962064 in words is "three billion, six million, nine hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 829 1658 2487 3316 4974 6632 7461 9948 13264 14922 19896 25189 29844 39792 50378 59688 75567 100756 119376 151134 201512 226701 302268 403024 453402 604536 906804 1209072 1813608 3627216 20881681 41763362 62645043 83526724 125290086 167053448 187935129 250580172 334106896 375870258 501160344 751740516 1002320688 1503481032 3006962064