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3006366132 = 22371116319961
BaseRepresentation
bin1011001100110001…
…1000000110110100
321202112000020000210
42303030120012310
522124112204012
61214152505420
7134333455560
oct26314300664
97675006023
103006366132
111303019410
126ba9ab270
1338bb03093
142073c26a0
15128e0023c
hexb33181b4

3006366132 has 96 divisors (see below), whose sum is σ = 8799888384. Its totient is φ = 776044800.

The previous prime is 3006366131. The next prime is 3006366137. The reversal of 3006366132 is 2316636003.

It is a self number, because there is not a number n which added to its sum of digits gives 3006366132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006366131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140632 + ... + 160592.

It is an arithmetic number, because the mean of its divisors is an integer number (91665504).

Almost surely, 23006366132 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 3006366132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399944192).

3006366132 is an abundant number, since it is smaller than the sum of its proper divisors (5793522252).

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

3006366132 is a wasteful number, since it uses less digits than its factorization.

3006366132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20149 (or 20147 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 3006366132 is about 54830.3395211082. The cubic root of 3006366132 is about 1443.2690218891.

The spelling of 3006366132 in words is "three billion, six million, three hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 163 231 308 326 462 489 652 924 978 1141 1793 1956 2282 3423 3586 4564 5379 6846 7172 10758 12551 13692 19961 21516 25102 37653 39922 50204 59883 75306 79844 119766 139727 150612 219571 239532 279454 419181 439142 558908 658713 838362 878284 1317426 1536997 1676724 2634852 3073994 3253643 4610991 6147988 6507286 9221982 9760929 13014572 18443964 19521858 22775501 35790073 39043716 45551002 68326503 71580146 91102004 107370219 136653006 143160292 214740438 250530511 273306012 429480876 501061022 751591533 1002122044 1503183066 3006366132