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411211332 = 223272233113
BaseRepresentation
bin11000100000101…
…001011001000100
31001122202200220100
4120200221121010
51320232230312
6104445404100
713122144600
oct3040513104
91048680810
10411211332
111a1133184
12b5869630
136726861c
143c882500
152617a5dc
hex18829644

411211332 has 54 divisors (see below), whose sum is σ = 1209162318. Its totient is φ = 117488448.

The previous prime is 411211327. The next prime is 411211337. The reversal of 411211332 is 233112114.

It is an interprime number because it is at equal distance from previous prime (411211327) and next prime (411211337).

It can be written as a sum of positive squares in only one way, i.e., 346183236 + 65028096 = 18606^2 + 8064^2 .

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 not an unprimeable number, because it can be changed into a prime (411211337) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114793 + ... + 118320.

Almost surely, 2411211332 is an apocalyptic number.

411211332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

411211332 is an abundant number, since it is smaller than the sum of its proper divisors (797950986).

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

411211332 is a wasteful number, since it uses less digits than its factorization.

411211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233137 (or 233125 counting only the distinct ones).

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

The square root of 411211332 is about 20278.3463822867. The cubic root of 411211332 is about 743.6267855863.

Adding to 411211332 its reverse (233112114), we get a palindrome (644323446).

The spelling of 411211332 in words is "four hundred eleven million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 233113 466226 699339 932452 1398678 1631791 2098017 2797356 3263582 4196034 4895373 6527164 8392068 9790746 11422537 14686119 19581492 22845074 29372238 34267611 45690148 58744476 68535222 102802833 137070444 205605666 411211332