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302106368 = 2841107269
BaseRepresentation
bin10010000000011…
…100011100000000
3210001110121000202
4102000130130000
51104314400433
645551104332
710325601404
oct2200343400
9701417022
10302106368
11145592a93
12852120a8
134a787785
142c1a1104
151b7c7ee8
hex1201c700

302106368 has 72 divisors (see below), whose sum is σ = 625831920. Its totient is φ = 145448960.

The previous prime is 302106367. The next prime is 302106391. The reversal of 302106368 is 863601203.

It is a self number, because there is not a number n which added to its sum of digits gives 302106368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302106367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1122938 + ... + 1123206.

It is an arithmetic number, because the mean of its divisors is an integer number (8692110).

Almost surely, 2302106368 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 302106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312915960).

302106368 is an abundant number, since it is smaller than the sum of its proper divisors (323725552).

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

302106368 is a wasteful number, since it uses less digits than its factorization.

302106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 302106368 is about 17381.2073228530. The cubic root of 302106368 is about 670.9960443174.

The spelling of 302106368 in words is "three hundred two million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 107 128 164 214 256 269 328 428 538 656 856 1076 1312 1712 2152 2624 3424 4304 4387 5248 6848 8608 8774 10496 11029 13696 17216 17548 22058 27392 28783 34432 35096 44116 57566 68864 70192 88232 115132 140384 176464 230264 280768 352928 460528 561536 705856 921056 1123072 1180103 1411712 1842112 2360206 2823424 3684224 4720412 7368448 9440824 18881648 37763296 75526592 151053184 302106368