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3385518804 = 2232319193301
BaseRepresentation
bin1100100111001010…
…1110101011010100
322201221110011201100
43021302232223110
523413143100204
61315535230100
7146616302133
oct31162565324
98657404640
103385518804
111488045428
127a5978330
1341c525685
142418bb91a
1514c346a39
hexc9caead4

3385518804 has 72 divisors (see below), whose sum is σ = 8846190080. Its totient is φ = 1090584000.

The previous prime is 3385518797. The next prime is 3385518809. The reversal of 3385518804 is 4088155833.

It is a super-2 number, since 2×33855188042 = 22923475144475180832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3385518804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385518809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1023954 + ... + 1027254.

Almost surely, 23385518804 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 3385518804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423095040).

3385518804 is an abundant number, since it is smaller than the sum of its proper divisors (5460671276).

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

3385518804 is a wasteful number, since it uses less digits than its factorization.

3385518804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 3385518804 is about 58185.2112138471. The cubic root of 3385518804 is about 1501.5567251789.

The spelling of 3385518804 in words is "three billion, three hundred eighty-five million, five hundred eighteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 919 1116 1838 2757 3301 3676 5514 6602 8271 9903 11028 13204 16542 19806 28489 29709 33084 39612 56978 59418 85467 102331 113956 118836 170934 204662 256401 306993 341868 409324 512802 613986 920979 1025604 1227972 1841958 3033619 3683916 6067238 9100857 12134476 18201714 27302571 36403428 54605142 94042189 109210284 188084378 282126567 376168756 564253134 846379701 1128506268 1692759402 3385518804