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414011312 = 241113180949
BaseRepresentation
bin11000101011010…
…100111110110000
31001212000221202022
4120223110332300
51321441330222
6105025411012
713155016031
oct3053247660
91055027668
10414011312
111a2775910
12b6799a68
1367a08c10
143cdb0a88
1526530042
hex18ad4fb0

414011312 has 40 divisors (see below), whose sum is σ = 942387600. Its totient is φ = 173710080.

The previous prime is 414011303. The next prime is 414011383. The reversal of 414011312 is 213110414.

It is a happy number.

It is a super-2 number, since 2×4140113122 = 342810732927922688, which contains 22 as substring.

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, 88187 + ... + 92762.

It is an arithmetic number, because the mean of its divisors is an integer number (23559690).

Almost surely, 2414011312 is an apocalyptic number.

It is an amenable number.

414011312 is an abundant number, since it is smaller than the sum of its proper divisors (528376288).

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

414011312 is a wasteful number, since it uses less digits than its factorization.

414011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180981 (or 180975 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 414011312 is about 20347.2679247117. The cubic root of 414011312 is about 745.3107794574.

Adding to 414011312 its reverse (213110414), we get a palindrome (627121726).

The spelling of 414011312 in words is "four hundred fourteen million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 180949 361898 723796 1447592 1990439 2352337 2895184 3980878 4704674 7961756 9409348 15923512 18818696 25875707 31847024 37637392 51751414 103502828 207005656 414011312