Search a number
-
+
3105452460 = 22351131714843
BaseRepresentation
bin1011100100011001…
…0111000110101100
322000102110022220210
42321012113012230
522324443434320
61232052342420
7136645624155
oct27106270654
98012408823
103105452460
111353a46440
12728014a10
133a64b6a46
1421661692c
151329740e0
hexb91971ac

3105452460 has 96 divisors (see below), whose sum is σ = 9516310272. Its totient is φ = 750411520.

The previous prime is 3105452453. The next prime is 3105452461. The reversal of 3105452460 is 642545013.

3105452460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3105452461) 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, 201799 + ... + 216641.

It is an arithmetic number, because the mean of its divisors is an integer number (99128232).

Almost surely, 23105452460 is an apocalyptic number.

3105452460 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 3105452460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758155136).

3105452460 is an abundant number, since it is smaller than the sum of its proper divisors (6410857812).

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

3105452460 is a wasteful number, since it uses less digits than its factorization.

3105452460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15183 (or 15181 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3105452460 is about 55726.5866530510. The cubic root of 3105452460 is about 1458.9540986144.

Adding to 3105452460 its reverse (642545013), we get a palindrome (3747997473).

The spelling of 3105452460 in words is "three billion, one hundred five million, four hundred fifty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 317 330 634 660 951 1268 1585 1902 3170 3487 3804 4755 6340 6974 9510 10461 13948 14843 17435 19020 20922 29686 34870 41844 44529 52305 59372 69740 74215 89058 104610 148430 163273 178116 209220 222645 296860 326546 445290 489819 653092 816365 890580 979638 1632730 1959276 2449095 3265460 4705231 4898190 9410462 9796380 14115693 18820924 23526155 28231386 47052310 51757541 56462772 70578465 94104620 103515082 141156930 155272623 207030164 258787705 282313860 310545246 517575410 621090492 776363115 1035150820 1552726230 3105452460