Search a number
-
+
411233064 = 233113594339
BaseRepresentation
bin11000100000101…
…110101100101000
31001122210210201020
4120200232230220
51320233424224
6104450052440
713122265134
oct3040565450
91048723636
10411233064
111a1148540
12b587a120
1367275498
143c88a3c4
1526181c79
hex1882eb28

411233064 has 64 divisors (see below), whose sum is σ = 1124928000. Its totient is φ = 124240320.

The previous prime is 411233063. The next prime is 411233071. The reversal of 411233064 is 460332114.

It is a super-2 number, since 2×4112330642 = 338225265853656192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (411233063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92607 + ... + 96945.

It is an arithmetic number, because the mean of its divisors is an integer number (17577000).

Almost surely, 2411233064 is an apocalyptic number.

411233064 is a gapful number since it is divisible by the number (44) 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 411233064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464000).

411233064 is an abundant number, since it is smaller than the sum of its proper divisors (713694936).

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

411233064 is a wasteful number, since it uses less digits than its factorization.

411233064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 411233064 is about 20278.8822177160. The cubic root of 411233064 is about 743.6398852680.

Adding to 411233064 its reverse (460332114), we get a palindrome (871565178).

The spelling of 411233064 in words is "four hundred eleven million, two hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 359 718 1077 1436 2154 2872 3949 4308 4339 7898 8616 8678 11847 13017 15796 17356 23694 26034 31592 34712 47388 47729 52068 94776 95458 104136 143187 190916 286374 381832 572748 1145496 1557701 3115402 4673103 6230804 9346206 12461608 17134711 18692412 34269422 37384824 51404133 68538844 102808266 137077688 205616532 411233064