Search a number
-
+
3040235340 = 22351013671367
BaseRepresentation
bin1011010100110110…
…0100111101001100
321211212201221211220
42311031210331030
522211300012330
61221402443340
7135224400612
oct26515447514
97755657756
103040235340
11132015189a
1270a203550
13395b3122c
1420babb6b2
1512bd90710
hexb5364f4c

3040235340 has 96 divisors (see below), whose sum is σ = 8626673664. Its totient is φ = 799929600.

The previous prime is 3040235327. The next prime is 3040235357. The reversal of 3040235340 is 435320403.

It is a self number, because there is not a number n which added to its sum of digits gives 3040235340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2223337 + ... + 2224703.

It is an arithmetic number, because the mean of its divisors is an integer number (89861184).

Almost surely, 23040235340 is an apocalyptic number.

3040235340 is a gapful number since it is divisible by the number (30) 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 3040235340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313336832).

3040235340 is an abundant number, since it is smaller than the sum of its proper divisors (5586438324).

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

3040235340 is a wasteful number, since it uses less digits than its factorization.

3040235340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3040235340 is about 55138.3291368173. The cubic root of 3040235340 is about 1448.6686694000.

Adding to 3040235340 its reverse (435320403), we get a palindrome (3475555743).

The spelling of 3040235340 in words is "three billion, forty million, two hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 367 404 505 606 734 1010 1101 1212 1367 1468 1515 1835 2020 2202 2734 3030 3670 4101 4404 5468 5505 6060 6835 7340 8202 11010 13670 16404 20505 22020 27340 37067 41010 74134 82020 111201 138067 148268 185335 222402 276134 370670 414201 444804 501689 552268 556005 690335 741340 828402 1003378 1112010 1380670 1505067 1656804 2006756 2071005 2224020 2508445 2761340 3010134 4142010 5016890 6020268 7525335 8284020 10033780 15050670 30101340 50670589 101341178 152011767 202682356 253352945 304023534 506705890 608047068 760058835 1013411780 1520117670 3040235340