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441434232 = 233319310589
BaseRepresentation
bin11010010011111…
…100000001111000
31010202122011221000
4122103330001320
51401001343412
6111445245000
713640062161
oct3223740170
91122564830
10441434232
112071a6088
12103a03760
13705babb5
14428ac768
1528b4a4dc
hex1a4fc078

441434232 has 64 divisors (see below), whose sum is σ = 1232676000. Its totient is φ = 146368512.

The previous prime is 441434221. The next prime is 441434243. The reversal of 441434232 is 232434144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (441434221) and next prime (441434243).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 441434196 and 441434205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36394 + ... + 46982.

Almost surely, 2441434232 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 441434232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616338000).

441434232 is an abundant number, since it is smaller than the sum of its proper divisors (791241768).

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

441434232 is a wasteful number, since it uses less digits than its factorization.

441434232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797 (or 10787 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 441434232 is about 21010.3363133482. The cubic root of 441434232 is about 761.4160073785.

Adding to 441434232 its reverse (232434144), we get a palindrome (673868376).

The spelling of 441434232 in words is "four hundred forty-one million, four hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1158 1544 1737 2316 3474 4632 5211 6948 10422 10589 13896 20844 21178 31767 41688 42356 63534 84712 95301 127068 190602 254136 285903 381204 571806 762408 1143612 2043677 2287224 4087354 6131031 8174708 12262062 16349416 18393093 24524124 36786186 49048248 55179279 73572372 110358558 147144744 220717116 441434232