Search a number
-
+
3035604540 = 2235192662811
BaseRepresentation
bin1011010011101111…
…1010011000111100
321211120000200120210
42310323322120330
522204103321130
61221115312420
7135140133003
oct26473723074
97746020523
103035604540
111318579691
1270874b710
13394b9c507
1420b233c3a
1512b7785b0
hexb4efa63c

3035604540 has 48 divisors (see below), whose sum is σ = 8947048320. Its totient is φ = 766889280.

The previous prime is 3035604511. The next prime is 3035604569. The reversal of 3035604540 is 454065303.

It is an interprime number because it is at equal distance from previous prime (3035604511) and next prime (3035604569).

It is a super-2 number, since 2×30356045402 = 18429789846537223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3035604498 and 3035604507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330266 + ... + 1332545.

It is an arithmetic number, because the mean of its divisors is an integer number (186396840).

Almost surely, 23035604540 is an apocalyptic number.

3035604540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3035604540 is an abundant number, since it is smaller than the sum of its proper divisors (5911443780).

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

3035604540 is a wasteful number, since it uses less digits than its factorization.

3035604540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662842 (or 2662840 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3035604540 is about 55096.3205668037. The cubic root of 3035604540 is about 1447.9327720027.

Adding to 3035604540 its reverse (454065303), we get a palindrome (3489669843).

The spelling of 3035604540 in words is "three billion, thirty-five million, six hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2662811 5325622 7988433 10651244 13314055 15976866 26628110 31953732 39942165 50593409 53256220 79884330 101186818 151780227 159768660 202373636 252967045 303560454 505934090 607120908 758901135 1011868180 1517802270 3035604540