Search a number
-
+
3230672704 = 267210091021
BaseRepresentation
bin1100000010010000…
…0010011101000000
322100011002011210121
43000210002131000
523104023011304
61252324310024
7143026156600
oct30044023500
98304064717
103230672704
1114086a3246
12761b42314
133c641aa6c
142290d0c00
1513d95b554
hexc0902740

3230672704 has 84 divisors (see below), whose sum is σ = 7472240580. Its totient is φ = 1381847040.

The previous prime is 3230672693. The next prime is 3230672779. The reversal of 3230672704 is 4072760323.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1428840000 + 1801832704 = 37800^2 + 42448^2 .

It is a super-2 number, since 2×32306727042 = 20874492240741343232, 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 3230672704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3163714 + ... + 3164734.

It is an arithmetic number, because the mean of its divisors is an integer number (88955245).

Almost surely, 23230672704 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 3230672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736120290).

3230672704 is an abundant number, since it is smaller than the sum of its proper divisors (4241567876).

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

3230672704 is a wasteful number, since it uses less digits than its factorization.

3230672704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 3230672704 is about 56839.0068878759. The cubic root of 3230672704 is about 1478.3059360110.

The spelling of 3230672704 in words is "three billion, two hundred thirty million, six hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1009 1021 1568 2018 2042 3136 4036 4084 7063 7147 8072 8168 14126 14294 16144 16336 28252 28588 32288 32672 49441 50029 56504 57176 64576 65344 98882 100058 113008 114352 197764 200116 226016 228704 395528 400232 452032 457408 791056 800464 1030189 1582112 1600928 2060378 3164224 3201856 4120756 7211323 8241512 14422646 16483024 28845292 32966048 50479261 57690584 65932096 100958522 115381168 201917044 230762336 403834088 461524672 807668176 1615336352 3230672704