Search a number
-
+
3120812352 = 263272110573
BaseRepresentation
bin1011101000000011…
…1101000101000000
322001111100200201200
42322000331011000
522342411443402
61233401501200
7140223316200
oct27200750500
98044320650
103120812352
111361687569
127311a1800
133a9734138
14218694400
15133eaa21c
hexba03d140

3120812352 has 126 divisors (see below), whose sum is σ = 10405787418. Its totient is φ = 891652608.

The previous prime is 3120812341. The next prime is 3120812381. The reversal of 3120812352 is 2532180213.

It can be written as a sum of positive squares in only one way, i.e., 2926377216 + 194435136 = 54096^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27063 + ... + 83510.

Almost surely, 23120812352 is an apocalyptic number.

3120812352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3120812352 is an abundant number, since it is smaller than the sum of its proper divisors (7284975066).

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

3120812352 is a wasteful number, since it uses less digits than its factorization.

3120812352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110605 (or 110585 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3120812352 is about 55864.2314186815. The cubic root of 3120812352 is about 1461.3555234730.

Adding to 3120812352 its reverse (2532180213), we get a palindrome (5652992565).

The spelling of 3120812352 in words is "three billion, one hundred twenty million, eight hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 110573 221146 331719 442292 663438 774011 884584 995157 1326876 1548022 1769168 1990314 2322033 2653752 3096044 3538336 3980628 4644066 5307504 5418077 6192088 6966099 7076672 7961256 9288132 10615008 10836154 12384176 13932198 15922512 16254231 18576264 21230016 21672308 24768352 27864396 31845024 32508462 37152528 43344616 48762693 49536704 55728792 63690048 65016924 74305056 86689232 97525386 111457584 130033848 148610112 173378464 195050772 222915168 260067696 346756928 390101544 445830336 520135392 780203088 1040270784 1560406176 3120812352