Search a number
-
+
3311011296 = 253331123619
BaseRepresentation
bin1100010101011010…
…0000010111100000
322112202020210122000
43011112200113200
523240104330141
61304314244000
7145023063105
oct30526402740
98482223560
103311011296
111449a8587a
12784a26600
13409c692a8
14235a44aac
15145a2a5b6
hexc55a05e0

3311011296 has 96 divisors (see below), whose sum is σ = 9968716800. Its totient is φ = 1068059520.

The previous prime is 3311011279. The next prime is 3311011321. The reversal of 3311011296 is 6921101133.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35026 + ... + 88593.

It is an arithmetic number, because the mean of its divisors is an integer number (103840800).

Almost surely, 23311011296 is an apocalyptic number.

3311011296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3311011296 is an abundant number, since it is smaller than the sum of its proper divisors (6657705504).

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

3311011296 is a wasteful number, since it uses less digits than its factorization.

3311011296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123669 (or 123655 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 3311011296 is about 57541.3876787830. The cubic root of 3311011296 is about 1490.4596416864.

The spelling of 3311011296 in words is "three billion, three hundred eleven million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 123619 247238 370857 494476 741714 988952 1112571 1483428 1977904 2225142 2966856 3337713 3832189 3955808 4450284 5933712 6675426 7664378 8900568 11496567 11867424 13350852 15328756 17801136 22993134 26701704 30657512 34489701 35602272 45986268 53403408 61315024 68979402 91972536 103469103 106806816 122630048 137958804 183945072 206938206 275917608 367890144 413876412 551835216 827752824 1103670432 1655505648 3311011296