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3002064 = 2431317283
BaseRepresentation
bin1011011100111011010000
312122112001120
423130323100
51232031224
6144202240
734342242
oct13347320
95575046
103002064
11177054a
121009380
13811590
14582092
153e4779
hex2dced0

3002064 has 80 divisors (see below), whose sum is σ = 8874432. Its totient is φ = 866304.

The previous prime is 3002039. The next prime is 3002089. The reversal of 3002064 is 4602003.

It is an interprime number because it is at equal distance from previous prime (3002039) and next prime (3002089).

It is a congruent number.

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, 10467 + ... + 10749.

Almost surely, 23002064 is an apocalyptic number.

3002064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437216).

3002064 is an abundant number, since it is smaller than the sum of its proper divisors (5872368).

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

3002064 is a wasteful number, since it uses less digits than its factorization.

3002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

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

The square root of 3002064 is about 1732.6465305999. The cubic root of 3002064 is about 144.2580250384.

Adding to 3002064 its reverse (4602003), we get a palindrome (7604067).

The spelling of 3002064 in words is "three million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 283 312 408 442 566 624 663 816 849 884 1132 1326 1698 1768 2264 2652 3396 3536 3679 4528 4811 5304 6792 7358 9622 10608 11037 13584 14433 14716 19244 22074 28866 29432 38488 44148 57732 58864 62543 76976 88296 115464 125086 176592 187629 230928 250172 375258 500344 750516 1000688 1501032 3002064