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302064 = 24372931
BaseRepresentation
bin1001001101111110000
3120100100120
41021233300
534131224
610250240
72365440
oct1115760
9510316
10302064
11196a44
12126980
13a7649
147c120
155e779
hex49bf0

302064 has 80 divisors (see below), whose sum is σ = 952320. Its totient is φ = 80640.

The previous prime is 302053. The next prime is 302111. The reversal of 302064 is 460203.

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 302064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9729 + ... + 9759.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2302064 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 302064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160).

302064 is an abundant number, since it is smaller than the sum of its proper divisors (650256).

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

302064 is a wasteful number, since it uses less digits than its factorization.

302064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 302064 is about 549.6034934387. The cubic root of 302064 is about 67.0964675576.

Adding to 302064 its reverse (460203), we get a palindrome (762267).

The spelling of 302064 in words is "three hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 31 42 48 56 58 62 84 87 93 112 116 124 168 174 186 203 217 232 248 336 348 372 406 434 464 496 609 651 696 744 812 868 899 1218 1302 1392 1488 1624 1736 1798 2436 2604 2697 3248 3472 3596 4872 5208 5394 6293 7192 9744 10416 10788 12586 14384 18879 21576 25172 37758 43152 50344 75516 100688 151032 302064