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412135304 = 23737443449
BaseRepresentation
bin11000100100001…
…010111110001000
31001201111122100112
4120210022332020
51321001312204
6104521253452
713133043440
oct3044127610
91051448315
10412135304
111a1704399
12b6034288
1367500059
143ca43120
15262ae26e
hex1890af88

412135304 has 64 divisors (see below), whose sum is σ = 911088000. Its totient is φ = 171085824.

The previous prime is 412135279. The next prime is 412135309. The reversal of 412135304 is 403531214.

It is a self number, because there is not a number n which added to its sum of digits gives 412135304.

It is not an unprimeable number, because it can be changed into a prime (412135309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917672 + ... + 918120.

It is an arithmetic number, because the mean of its divisors is an integer number (14235750).

Almost surely, 2412135304 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 412135304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455544000).

412135304 is an abundant number, since it is smaller than the sum of its proper divisors (498952696).

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

412135304 is a wasteful number, since it uses less digits than its factorization.

412135304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 412135304 is about 20301.1158314020. The cubic root of 412135304 is about 744.1833334380.

Adding to 412135304 its reverse (403531214), we get a palindrome (815666518).

The spelling of 412135304 in words is "four hundred twelve million, one hundred thirty-five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 443 449 518 886 898 1036 1772 1796 2072 3101 3143 3544 3592 6202 6286 12404 12572 16391 16613 24808 25144 32782 33226 65564 66452 114737 116291 131128 132904 198907 229474 232582 397814 458948 465164 795628 917896 930328 1392349 1591256 2784698 5569396 7359559 11138792 14719118 29438236 51516913 58876472 103033826 206067652 412135304