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412245306 = 23211317207
BaseRepresentation
bin11000100100100…
…101110100111010
31001201201020020200
4120210211310322
51321013322211
6104523503030
713134012234
oct3044456472
91051636220
10412245306
111a177a000
12b6087a76
136753b145
143ca71254
15262d1b56
hex18925d3a

412245306 has 48 divisors (see below), whose sum is σ = 982507968. Its totient is φ = 124915560.

The previous prime is 412245277. The next prime is 412245311. The reversal of 412245306 is 603542214.

412245306 is a `hidden beast` number, since 4 + 122 + 4 + 530 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 412245306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15355 + ... + 32561.

It is an arithmetic number, because the mean of its divisors is an integer number (20468916).

Almost surely, 2412245306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412245306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491253984).

412245306 is an abundant number, since it is smaller than the sum of its proper divisors (570262662).

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

412245306 is a wasteful number, since it uses less digits than its factorization.

412245306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17248 (or 17223 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 412245306 is about 20303.8249105926. The cubic root of 412245306 is about 744.2495369171.

The spelling of 412245306 in words is "four hundred twelve million, two hundred forty-five thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 7986 11979 17207 23958 34414 51621 103242 154863 189277 309726 378554 567831 1135662 1703493 2082047 3406986 4164094 6246141 12492282 18738423 22902517 37476846 45805034 68707551 137415102 206122653 412245306