Search a number
-
+
3064204512 = 253310932537
BaseRepresentation
bin1011011010100100…
…0000110011100000
321220112211201101000
42312221000303200
522233414021022
61224020312000
7135635210565
oct26651006340
97815751330
103064204512
111332733226
12716242600
1339aaa4185
14210d5a86c
1512e0276ac
hexb6a40ce0

3064204512 has 96 divisors (see below), whose sum is σ = 9019533600. Its totient is φ = 1011999744.

The previous prime is 3064204511. The next prime is 3064204523. The reversal of 3064204512 is 2154024603.

3064204512 is a `hidden beast` number, since 3 + 0 + 642 + 0 + 4 + 5 + 12 = 666.

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

It is a super-2 number, since 2×30642045122 = 18778698582722316288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064204511) by changing a digit.

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, 77908 + ... + 110444.

It is an arithmetic number, because the mean of its divisors is an integer number (93953475).

Almost surely, 23064204512 is an apocalyptic number.

3064204512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3064204512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509766800).

3064204512 is an abundant number, since it is smaller than the sum of its proper divisors (5955329088).

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

3064204512 is a wasteful number, since it uses less digits than its factorization.

3064204512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32665 (or 32651 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3064204512 is about 55355.2573112979. The cubic root of 3064204512 is about 1452.4658023336.

The spelling of 3064204512 in words is "three billion, sixty-four million, two hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 654 864 872 981 1308 1744 1962 2616 2943 3488 3924 5232 5886 7848 10464 11772 15696 23544 31392 32537 47088 65074 94176 97611 130148 195222 260296 292833 390444 520592 585666 780888 878499 1041184 1171332 1561776 1756998 2342664 3123552 3513996 3546533 4685328 7027992 7093066 9370656 10639599 14055984 14186132 21279198 28111968 28372264 31918797 42558396 56744528 63837594 85116792 95756391 113489056 127675188 170233584 191512782 255350376 340467168 383025564 510700752 766051128 1021401504 1532102256 3064204512