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3006534264 = 233415715351
BaseRepresentation
bin1011001100110100…
…0001001001111000
321202112022202122220
42303031001021320
522124133044024
61214200244040
7134335056006
oct26315011170
97675282586
103006534264
111303123768
126baa70620
1338bb61776
14207427a76
15128e34e79
hexb3341278

3006534264 has 64 divisors (see below), whose sum is σ = 7714586880. Its totient is φ = 975840000.

The previous prime is 3006534253. The next prime is 3006534281. The reversal of 3006534264 is 4624356003.

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, 559189 + ... + 564539.

It is an arithmetic number, because the mean of its divisors is an integer number (120540420).

Almost surely, 23006534264 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 3006534264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857293440).

3006534264 is an abundant number, since it is smaller than the sum of its proper divisors (4708052616).

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

3006534264 is a wasteful number, since it uses less digits than its factorization.

3006534264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 3006534264 is about 54831.8727019240. The cubic root of 3006534264 is about 1443.2959264835.

The spelling of 3006534264 in words is "three billion, six million, five hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 571 984 1142 1713 2284 3426 4568 5351 6852 10702 13704 16053 21404 23411 32106 42808 46822 64212 70233 93644 128424 140466 187288 219391 280932 438782 561864 658173 877564 1316346 1755128 2632692 3055421 5265384 6110842 9166263 12221684 18332526 24443368 36665052 73330104 125272261 250544522 375816783 501089044 751633566 1002178088 1503267132 3006534264