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412314030 = 23355328813
BaseRepresentation
bin11000100100110…
…110100110101110
31001201211201112000
4120210312212232
51321023022110
6104525153130
713134416502
oct3044664656
91051751460
10412314030
111a18166a7
12b60bb7a6
13675634cb
143ca8c302
15262e71c0
hex189369ae

412314030 has 64 divisors (see below), whose sum is σ = 1120288320. Its totient is φ = 107872128.

The previous prime is 412314011. The next prime is 412314053. The reversal of 412314030 is 30413214.

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

It is a junction number, because it is equal to n+sod(n) for n = 412313994 and 412314012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97 + ... + 28716.

It is an arithmetic number, because the mean of its divisors is an integer number (17504505).

Almost surely, 2412314030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412314030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560144160).

412314030 is an abundant number, since it is smaller than the sum of its proper divisors (707974290).

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

412314030 is a wasteful number, since it uses less digits than its factorization.

412314030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28882 (or 28876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412314030 is about 20305.5172305460. The cubic root of 412314030 is about 744.2908917144.

Adding to 412314030 its reverse (30413214), we get a palindrome (442727244).

The spelling of 412314030 in words is "four hundred twelve million, three hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310 28813 57626 86439 144065 172878 259317 288130 432195 518634 777951 864390 1296585 1527089 1555902 2593170 3054178 3889755 4581267 7635445 7779510 9162534 13743801 15270890 22906335 27487602 41231403 45812670 68719005 82462806 137438010 206157015 412314030