Search a number
-
+
3115440636 = 2237113499661
BaseRepresentation
bin1011100110110001…
…1101100111111100
322001010020210010020
42321230131213330
522340023100021
61233050412140
7140126544210
oct27154354774
98033223106
103115440636
111359648730
1272b431050
133a85a30c9
14217a96940
151337987c6
hexb9b1d9fc

3115440636 has 96 divisors (see below), whose sum is σ = 9090009600. Its totient is φ = 806803200.

The previous prime is 3115440631. The next prime is 3115440641. The reversal of 3115440636 is 6360445113.

It is an interprime number because it is at equal distance from previous prime (3115440631) and next prime (3115440641).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3115440597 and 3115440606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115440631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317646 + ... + 327306.

It is an arithmetic number, because the mean of its divisors is an integer number (94687600).

Almost surely, 23115440636 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 3115440636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545004800).

3115440636 is an abundant number, since it is smaller than the sum of its proper divisors (5974568964).

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

3115440636 is a wasteful number, since it uses less digits than its factorization.

3115440636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3115440636 is about 55816.1323991550. The cubic root of 3115440636 is about 1460.5165864466.

Adding to 3115440636 its reverse (6360445113), we get a palindrome (9475885749).

The spelling of 3115440636 in words is "three billion, one hundred fifteen million, four hundred forty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 349 462 698 924 1047 1396 2094 2443 3839 4188 4886 7329 7678 9661 9772 11517 14658 15356 19322 23034 26873 28983 29316 38644 46068 53746 57966 67627 80619 106271 107492 115932 135254 161238 202881 212542 270508 318813 322476 405762 425084 637626 743897 811524 1275252 1487794 2231691 2975588 3371689 4463382 6743378 8926764 10115067 13486756 20230134 23601823 37088579 40460268 47203646 70805469 74177158 94407292 111265737 141610938 148354316 222531474 259620053 283221876 445062948 519240106 778860159 1038480212 1557720318 3115440636