Search a number
-
+
3306040704 = 27333492741
BaseRepresentation
bin1100010100001110…
…0010110110000000
322112101220021021000
43011003202312000
523232321300304
61304015532000
7144632611431
oct30503426600
98471807230
103306040704
1114471a034a
1278322a000
13408c18a05
1423510d488
15145397939
hexc50e2d80

3306040704 has 128 divisors (see below), whose sum is σ = 9788940000. Its totient is φ = 1098455040.

The previous prime is 3306040657. The next prime is 3306040733. The reversal of 3306040704 is 4070406033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1204774 + ... + 1207514.

Almost surely, 23306040704 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 3306040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894470000).

3306040704 is an abundant number, since it is smaller than the sum of its proper divisors (6482899296).

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

3306040704 is a wasteful number, since it uses less digits than its factorization.

3306040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3306040704 is about 57498.1800059793. The cubic root of 3306040704 is about 1489.7134268619.

Adding to 3306040704 its reverse (4070406033), we get a palindrome (7376446737).

The spelling of 3306040704 in words is "three billion, three hundred six million, forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 349 384 432 576 698 864 1047 1152 1396 1728 2094 2741 2792 3141 3456 4188 5482 5584 6282 8223 8376 9423 10964 11168 12564 16446 16752 18846 21928 22336 24669 25128 32892 33504 37692 43856 44672 49338 50256 65784 67008 74007 75384 87712 98676 100512 131568 134016 148014 150768 175424 197352 201024 263136 296028 301536 350848 394704 402048 526272 592056 603072 789408 956609 1052544 1184112 1206144 1578816 1913218 2368224 2869827 3157632 3826436 4736448 5739654 7652872 8609481 9472896 11479308 15305744 17218962 22958616 25828443 30611488 34437924 45917232 51656886 61222976 68875848 91834464 103313772 122445952 137751696 183668928 206627544 275503392 367337856 413255088 551006784 826510176 1102013568 1653020352 3306040704