Search a number
-
+
3148976 = 242343199
BaseRepresentation
bin1100000000110010110000
312220222120202
430000302300
51301231401
6151254332
735523455
oct14006260
95828522
103148976
111860966
12107a3a8
138633cc
145bd82c
1542306b
hex300cb0

3148976 has 40 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 1463616.

The previous prime is 3148973. The next prime is 3148987. The reversal of 3148976 is 6798413.

It is an Ulam number.

It is a d-powerful number, because it can be written as 36 + 1 + 410 + 87 + 92 + 74 + 62 .

It is not an unprimeable number, because it can be changed into a prime (3148973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15725 + ... + 15923.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 23148976 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 3148976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

3148976 is an abundant number, since it is smaller than the sum of its proper divisors (3398224).

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

3148976 is a wasteful number, since it uses less digits than its factorization.

3148976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 3148976 is about 1774.5354321625. The cubic root of 3148976 is about 146.5738347351.

The spelling of 3148976 in words is "three million, one hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 199 344 368 398 688 796 989 1592 1978 3184 3956 4577 7912 8557 9154 15824 17114 18308 34228 36616 68456 73232 136912 196811 393622 787244 1574488 3148976