Search a number
-
+
302868 = 223247179
BaseRepresentation
bin1001001111100010100
3120101110100
41021330110
534142433
610254100
72400666
oct1117424
9511410
10302868
11197605
12127330
13a7b17
147c536
155eb13
hex49f14

302868 has 36 divisors (see below), whose sum is σ = 786240. Its totient is φ = 98256.

The previous prime is 302857. The next prime is 302873. The reversal of 302868 is 868203.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 302868.

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, 1603 + ... + 1781.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2302868 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 302868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

302868 is an abundant number, since it is smaller than the sum of its proper divisors (483372).

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

302868 is a wasteful number, since it uses less digits than its factorization.

302868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 302868 is about 550.3344437703. The cubic root of 302868 is about 67.1559447639.

The spelling of 302868 in words is "three hundred two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 179 188 282 358 423 537 564 716 846 1074 1611 1692 2148 3222 6444 8413 16826 25239 33652 50478 75717 100956 151434 302868