Search a number
-
+
30979242 = 2327534639
BaseRepresentation
bin111011000101…
…1010010101010
32011021220112100
41312023102222
530412313432
63023554230
7524214330
oct166132252
964256470
1030979242
111653a188
12a45b976
136558918
144185b50
152abe07c
hex1d8b4aa

30979242 has 48 divisors (see below), whose sum is σ = 78174720. Its totient is φ = 8682336.

The previous prime is 30979241. The next prime is 30979243. The reversal of 30979242 is 24297903.

It is an interprime number because it is at equal distance from previous prime (30979241) and next prime (30979243).

It is a junction number, because it is equal to n+sod(n) for n = 30979197 and 30979206.

It is not an unprimeable number, because it can be changed into a prime (30979241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (1628640).

Almost surely, 230979242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30979242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39087360).

30979242 is an abundant number, since it is smaller than the sum of its proper divisors (47195478).

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

30979242 is a wasteful number, since it uses less digits than its factorization.

30979242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30979242 is about 5565.8999272355. The cubic root of 30979242 is about 314.0679326156.

The spelling of 30979242 in words is "thirty million, nine hundred seventy-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 3339 4639 6678 9278 13917 27834 32473 41751 64946 83502 97419 194838 245867 292257 491734 584514 737601 1475202 1721069 2212803 3442138 4425606 5163207 10326414 15489621 30979242