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412311132 = 223217838117
BaseRepresentation
bin11000100100110…
…101111001011100
31001201211120112200
4120210311321130
51321022424012
6104525131500
713134405162
oct3044657134
91051746480
10412311132
111a1814502
12b60b9b90
13675620ac
143ca8b232
15262e63dc
hex18935e5c

412311132 has 72 divisors (see below), whose sum is σ = 1116971856. Its totient is φ = 127778304.

The previous prime is 412311083. The next prime is 412311173. The reversal of 412311132 is 231113214.

It is a super-2 number, since 2×4123111322 = 340000939142242848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

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, 46738 + ... + 54854.

It is an arithmetic number, because the mean of its divisors is an integer number (15513498).

Almost surely, 2412311132 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 412311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558485928).

412311132 is an abundant number, since it is smaller than the sum of its proper divisors (704660724).

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

412311132 is a wasteful number, since it uses less digits than its factorization.

412311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8222 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 412311132 is about 20305.4458705048. The cubic root of 412311132 is about 744.2891479302.

Adding to 412311132 its reverse (231113214), we get a palindrome (643424346).

The spelling of 412311132 in words is "four hundred twelve million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 153 166 204 249 306 332 498 612 747 996 1411 1494 2822 2988 4233 5644 8117 8466 12699 16234 16932 24351 25398 32468 48702 50796 73053 97404 137989 146106 275978 292212 413967 551956 673711 827934 1241901 1347422 1655868 2021133 2483802 2694844 4042266 4967604 6063399 8084532 11453087 12126798 22906174 24253596 34359261 45812348 68718522 103077783 137437044 206155566 412311132