Search a number
-
+
3312413010 = 23251512231093
BaseRepresentation
bin1100010101101111…
…0110100101010010
322112211220000102100
43011123312211102
523240434204020
61304404301230
7145041021534
oct30533664522
98484800370
103312413010
11144a852a15
127853a1816
1340a33a2ca
14235ccb854
15145c05a90
hexc56f6952

3312413010 has 96 divisors (see below), whose sum is σ = 8716151808. Its totient is φ = 872726400.

The previous prime is 3312412997. The next prime is 3312413029. The reversal of 3312413010 is 103142133.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 3030024 + ... + 3031116.

It is an arithmetic number, because the mean of its divisors is an integer number (90793248).

Almost surely, 23312413010 is an apocalyptic number.

3312413010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312413010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358075904).

3312413010 is an abundant number, since it is smaller than the sum of its proper divisors (5403738798).

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

3312413010 is a wasteful number, since it uses less digits than its factorization.

3312413010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3312413010 is about 57553.5664403171. The cubic root of 3312413010 is about 1490.6699403141.

Adding to 3312413010 its reverse (103142133), we get a palindrome (3415555143).

The spelling of 3312413010 in words is "three billion, three hundred twelve million, four hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 223 302 446 453 669 755 906 1093 1115 1338 1359 1510 2007 2186 2230 2265 2718 3279 3345 4014 4530 5465 6558 6690 6795 9837 10035 10930 13590 16395 19674 20070 32790 33673 49185 67346 98370 101019 165043 168365 202038 243739 303057 330086 336730 487478 495129 505095 606114 731217 825215 990258 1010190 1218695 1462434 1485387 1515285 1650430 2193651 2437390 2475645 2970774 3030570 3656085 4387302 4951290 7312170 7426935 10968255 14853870 21936510 36804589 73609178 110413767 184022945 220827534 331241301 368045890 552068835 662482602 1104137670 1656206505 3312413010