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704611116 = 2233113171871
BaseRepresentation
bin101001111111111…
…000001100101100
31211002211221202000
4221333320030230
52420340023431
6153530132300
723314044546
oct5177701454
91732757660
10704611116
11331809840
12177b81090
13b2c95171
1469818696
1541cd39e6
hex29ff832c

704611116 has 96 divisors (see below), whose sum is σ = 2000194560. Its totient is φ = 212731200.

The previous prime is 704611073. The next prime is 704611129. The reversal of 704611116 is 611116407.

It is a super-3 number, since 3×7046111163 (a number of 28 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 704611116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375661 + ... + 377531.

It is an arithmetic number, because the mean of its divisors is an integer number (20835360).

Almost surely, 2704611116 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 704611116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000097280).

704611116 is an abundant number, since it is smaller than the sum of its proper divisors (1295583444).

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

704611116 is a wasteful number, since it uses less digits than its factorization.

704611116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 704611116 is about 26544.5119751711. The cubic root of 704611116 is about 889.8493689441.

The spelling of 704611116 in words is "seven hundred four million, six hundred eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 317 396 594 634 951 1188 1268 1871 1902 2853 3487 3742 3804 5613 5706 6974 7484 8559 10461 11226 11412 13948 16839 17118 20581 20922 22452 31383 33678 34236 41162 41844 50517 61743 62766 67356 82324 94149 101034 123486 125532 185229 188298 202068 246972 370458 376596 555687 593107 740916 1111374 1186214 1779321 2222748 2372428 3558642 5337963 6524177 7117284 10675926 13048354 16013889 19572531 21351852 26096708 32027778 39145062 58717593 64055556 78290124 117435186 176152779 234870372 352305558 704611116