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3290630532 = 2237315932131
BaseRepresentation
bin1100010000100011…
…0000100110000100
322111022220100110220
43010020300212010
523214400134112
61302305344340
7144354620010
oct30410604604
98438810426
103290630532
111439525472
1277a0380b0
13405981777
1423305b540
15143d5198c
hexc4230984

3290630532 has 96 divisors (see below), whose sum is σ = 9077612544. Its totient is φ = 907891200.

The previous prime is 3290630459. The next prime is 3290630561. The reversal of 3290630532 is 2350360923.

It is a junction number, because it is equal to n+sod(n) for n = 3290630493 and 3290630502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543107 + ... + 1545237.

It is an arithmetic number, because the mean of its divisors is an integer number (94558464).

Almost surely, 23290630532 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 3290630532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538806272).

3290630532 is an abundant number, since it is smaller than the sum of its proper divisors (5786982012).

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

3290630532 is a wasteful number, since it uses less digits than its factorization.

3290630532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 3290630532 is about 57364.0177463190. The cubic root of 3290630532 is about 1487.3951955160.

The spelling of 3290630532 in words is "three billion, two hundred ninety million, six hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 593 651 868 1186 1302 1779 2131 2372 2604 3558 4151 4262 6393 7116 8302 8524 12453 12786 14917 16604 18383 24906 25572 29834 36766 44751 49812 55149 59668 66061 73532 89502 110298 128681 132122 179004 198183 220596 257362 264244 386043 396366 462427 514724 772086 792732 924854 1263683 1387281 1544172 1849708 2527366 2774562 3791049 5054732 5549124 7582098 8845781 15164196 17691562 26537343 35383124 39174173 53074686 78348346 106149372 117522519 156696692 235045038 274219211 470090076 548438422 822657633 1096876844 1645315266 3290630532