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412002304 = 211729991
BaseRepresentation
bin11000100011101…
…010100000000000
31001201020212220121
4120203222200000
51320433033204
6104514350024
713131650620
oct3043524000
91051225817
10412002304
111a162347a
12b5b8b314
136748465c
143ca0a880
1526284b54
hex188ea800

412002304 has 96 divisors (see below), whose sum is σ = 974937600. Its totient is φ = 170311680.

The previous prime is 412002263. The next prime is 412002343. The reversal of 412002304 is 403200214.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415249 + ... + 416239.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2412002304 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 412002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

412002304 is an abundant number, since it is smaller than the sum of its proper divisors (562935296).

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

412002304 is an equidigital number, since it uses as much as digits as its factorization.

412002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 412002304 is about 20297.8398850715. The cubic root of 412002304 is about 744.1032731348.

Adding to 412002304 its reverse (403200214), we get a palindrome (815202518).

The spelling of 412002304 in words is "four hundred twelve million, two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 991 1024 1624 1792 1856 1982 2048 3248 3584 3712 3964 6496 6937 7168 7424 7928 12992 13874 14336 14848 15856 25984 27748 28739 29696 31712 51968 55496 57478 59392 63424 103936 110992 114956 126848 201173 207872 221984 229912 253696 402346 415744 443968 459824 507392 804692 887936 919648 1014784 1609384 1775872 1839296 2029568 3218768 3551744 3678592 6437536 7103488 7357184 12875072 14206976 14714368 25750144 29428736 51500288 58857472 103000576 206001152 412002304