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412414212 = 223767127577
BaseRepresentation
bin11000100101001…
…111000100000100
31001202000210221110
4120211033010010
51321034223322
6104531245020
713135314540
oct3045170404
91052023843
10412414212
111a18849a1
12b6149770
1367599ca2
143cab6a20
1526316c0c
hex1894f104

412414212 has 96 divisors (see below), whose sum is σ = 1126924288. Its totient is φ = 114960384.

The previous prime is 412414199. The next prime is 412414213. The reversal of 412414212 is 212414214.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (412414213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714468 + ... + 715044.

Almost surely, 2412414212 is an apocalyptic number.

412414212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412414212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563462144).

412414212 is an abundant number, since it is smaller than the sum of its proper divisors (714510076).

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

412414212 is a wasteful number, since it uses less digits than its factorization.

412414212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 412414212 is about 20307.9839472066. The cubic root of 412414212 is about 744.3511681917.

Adding to 412414212 its reverse (212414214), we get a palindrome (624828426).

It can be divided in two parts, 4124 and 14212, that added together give a triangular number (18336 = T191).

The spelling of 412414212 in words is "four hundred twelve million, four hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 127 134 201 254 268 381 402 469 508 577 762 804 889 938 1154 1407 1524 1731 1778 1876 2308 2667 2814 3462 3556 4039 5334 5628 6924 8078 8509 10668 12117 16156 17018 24234 25527 34036 38659 48468 51054 59563 73279 77318 102108 115977 119126 146558 154636 178689 219837 231954 238252 270613 293116 357378 439674 463908 512953 541226 714756 811839 879348 1025906 1082452 1538859 1623678 2051812 3077718 3247356 4909693 6155436 9819386 14729079 19638772 29458158 34367851 58916316 68735702 103103553 137471404 206207106 412414212