Search a number
-
+
302607030 = 235111914801
BaseRepresentation
bin10010000010010…
…110101010110110
3210002102000210210
4102002112222312
51104431411110
650005530250
710333055145
oct2202265266
9702360723
10302607030
111458a5160
1285413986
134a90161b
142c29175c
151b876520
hex12096ab6

302607030 has 64 divisors (see below), whose sum is σ = 796594176. Its totient is φ = 72960000.

The previous prime is 302607023. The next prime is 302607037. The reversal of 302607030 is 30706203.

It is an interprime number because it is at equal distance from previous prime (302607023) and next prime (302607037).

It is a junction number, because it is equal to n+sod(n) for n = 302606988 and 302607006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302607037) 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 31 ways as a sum of consecutive naturals, for example, 60630 + ... + 65430.

It is an arithmetic number, because the mean of its divisors is an integer number (12446784).

Almost surely, 2302607030 is an apocalyptic number.

302607030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 302607030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398297088).

302607030 is an abundant number, since it is smaller than the sum of its proper divisors (493987146).

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

302607030 is a wasteful number, since it uses less digits than its factorization.

302607030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 302607030 is about 17395.6037549721. The cubic root of 302607030 is about 671.3665063457.

The spelling of 302607030 in words is "three hundred two million, six hundred seven thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 191 330 382 573 955 1146 1910 2101 2865 4202 4801 5730 6303 9602 10505 12606 14403 21010 24005 28806 31515 48010 52811 63030 72015 105622 144030 158433 264055 316866 528110 792165 916991 1584330 1833982 2750973 4584955 5501946 9169910 10086901 13754865 20173802 27509730 30260703 50434505 60521406 100869010 151303515 302607030