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412213104 = 24334092333
BaseRepresentation
bin11000100100011…
…101111101110000
31001201122121002000
4120210131331300
51321011304404
6104523054000
713133516322
oct3044357560
91051577060
10412213104
111a1757896
12b6071300
13675295a4
143ca63612
15262c7339
hex1891df70

412213104 has 80 divisors (see below), whose sum is σ = 1186605600. Its totient is φ = 137009664.

The previous prime is 412213097. The next prime is 412213111. The reversal of 412213104 is 401312214.

It is an interprime number because it is at equal distance from previous prime (412213097) and next prime (412213111).

It is a super-4 number, since 4×4122131044 (a number of 36 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175522 + ... + 177854.

It is an arithmetic number, because the mean of its divisors is an integer number (14832570).

Almost surely, 2412213104 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 412213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593302800).

412213104 is an abundant number, since it is smaller than the sum of its proper divisors (774392496).

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

412213104 is a wasteful number, since it uses less digits than its factorization.

412213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412213104 is about 20303.0318918136. The cubic root of 412213104 is about 744.2301577212.

Adding to 412213104 its reverse (401312214), we get a palindrome (813525318).

The spelling of 412213104 in words is "four hundred twelve million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 409 432 818 1227 1636 2333 2454 3272 3681 4666 4908 6544 6999 7362 9332 9816 11043 13998 14724 18664 19632 20997 22086 27996 29448 37328 41994 44172 55992 58896 62991 83988 88344 111984 125982 167976 176688 251964 335952 503928 954197 1007856 1908394 2862591 3816788 5725182 7633576 8587773 11450364 15267152 17175546 22900728 25763319 34351092 45801456 51526638 68702184 103053276 137404368 206106552 412213104