Search a number
-
+
3240121000 = 235322914149
BaseRepresentation
bin1100000100100000…
…0101001010101000
322100210212012102111
43001020011022220
523113432333000
61253303012104
7143202400624
oct30110051250
98323765374
103240121000
111412a66956
1276513a034
133c837847c
1422a470184
1513e6c5cba
hexc12052a8

3240121000 has 64 divisors (see below), whose sum is σ = 7615530000. Its totient is φ = 1290297600.

The previous prime is 3240120943. The next prime is 3240121007. The reversal of 3240121000 is 1210423.

It can be written as a sum of positive squares in 8 ways, for example, as 1364711364 + 1875409636 = 36942^2 + 43306^2 .

It is a super-4 number, since 4×32401210004 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (3240121007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221926 + ... + 236074.

Almost surely, 23240121000 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 3240121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807765000).

3240121000 is an abundant number, since it is smaller than the sum of its proper divisors (4375409000).

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

3240121000 is a wasteful number, since it uses less digits than its factorization.

3240121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14399 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3240121000 is about 56922.0607497656. The cubic root of 3240121000 is about 1479.7456648419.

Adding to 3240121000 its reverse (1210423), we get a palindrome (3241331423).

It can be divided in two parts, 3240 and 121000, that multiplied together give a square (392040000 = 198002).

The spelling of 3240121000 in words is "three billion, two hundred forty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 229 250 458 500 916 1000 1145 1832 2290 4580 5725 9160 11450 14149 22900 28298 28625 45800 56596 57250 70745 113192 114500 141490 229000 282980 353725 565960 707450 1414900 1768625 2829800 3240121 3537250 6480242 7074500 12960484 14149000 16200605 25920968 32401210 64802420 81003025 129604840 162006050 324012100 405015125 648024200 810030250 1620060500 3240121000