Search a number
-
+
3243510040 = 235716731697
BaseRepresentation
bin1100000101010100…
…0000100100011000
322101001020101022111
43001111000210120
523120314310130
61253503402104
7143243244331
oct30125004430
98331211274
103243510040
111414971111
127662b3334
133c8c93c14
1422aab3288
1513eb4502a
hexc1540918

3243510040 has 64 divisors (see below), whose sum is σ = 7416048960. Its totient is φ = 1276477440.

The previous prime is 3243509989. The next prime is 3243510043. The reversal of 3243510040 is 400153423.

It is a junction number, because it is equal to n+sod(n) for n = 3243509993 and 3243510020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243510043) 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, 1910472 + ... + 1912168.

It is an arithmetic number, because the mean of its divisors is an integer number (115875765).

Almost surely, 23243510040 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 3243510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708024480).

3243510040 is an abundant number, since it is smaller than the sum of its proper divisors (4172538920).

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

3243510040 is a wasteful number, since it uses less digits than its factorization.

3243510040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3243510040 is about 56951.8220955221. The cubic root of 3243510040 is about 1480.2614037905.

Adding to 3243510040 its reverse (400153423), we get a palindrome (3643663463).

The spelling of 3243510040 in words is "three billion, two hundred forty-three million, five hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 673 710 1346 1420 1697 2692 2840 3365 3394 5384 6730 6788 8485 13460 13576 16970 26920 33940 47783 67880 95566 120487 191132 238915 240974 382264 477830 481948 602435 955660 963896 1142081 1204870 1911320 2284162 2409740 4568324 4819480 5710405 9136648 11420810 22841620 45683240 81087751 162175502 324351004 405438755 648702008 810877510 1621755020 3243510040