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412034568 = 233111579941
BaseRepresentation
bin11000100011110…
…010011000001000
31001201022112011120
4120203302120020
51320440101233
6104515155240
713132143651
oct3043623010
91051275146
10412034568
111a1645740
12b5ba5b20
136749624a
143ca18528
152628e4b3
hex188f2608

412034568 has 64 divisors (see below), whose sum is σ = 1131001920. Its totient is φ = 124051200.

The previous prime is 412034531. The next prime is 412034587. The reversal of 412034568 is 865430214.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36478 + ... + 46418.

It is an arithmetic number, because the mean of its divisors is an integer number (17671905).

Almost surely, 2412034568 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 412034568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565500960).

412034568 is an abundant number, since it is smaller than the sum of its proper divisors (718967352).

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

412034568 is a wasteful number, since it uses less digits than its factorization.

412034568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 412034568 is about 20298.6346338861. The cubic root of 412034568 is about 744.1226962635.

The spelling of 412034568 in words is "four hundred twelve million, thirty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 942 1256 1727 1884 3454 3768 5181 6908 9941 10362 13816 19882 20724 29823 39764 41448 59646 79528 109351 119292 218702 238584 328053 437404 656106 874808 1312212 1560737 2624424 3121474 4682211 6242948 9364422 12485896 17168107 18728844 34336214 37457688 51504321 68672428 103008642 137344856 206017284 412034568