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435223044 = 2234192612
BaseRepresentation
bin11001111100001…
…111101000000100
31010022221121210000
4121330033220010
51342404114134
6111104201300
713533222564
oct3174175004
91108847700
10435223044
11203743573
12101909230
136c224a39
1441b32da4
152831ee99
hex19f0fa04

435223044 has 135 divisors (see below), whose sum is σ = 1220800581. Its totient is φ = 135185760.

The previous prime is 435223037. The next prime is 435223049. The reversal of 435223044 is 440322534.

The square root of 435223044 is 20862.

It is a perfect power (a square), and thus also a powerful number.

435223044 is a `hidden beast` number, since 4 + 352 + 2 + 304 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14152644 + 421070400 = 3762^2 + 20520^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 435222999 and 435223017.

It is not an unprimeable number, because it can be changed into a prime (435223049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7134774 + ... + 7134834.

Almost surely, 2435223044 is an apocalyptic number.

435223044 is the 20862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435223044

435223044 is an abundant number, since it is smaller than the sum of its proper divisors (785577537).

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

435223044 is a wasteful number, since it uses less digits than its factorization.

435223044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The cubic root of 435223044 is about 757.8279650330.

Adding to 435223044 its reverse (440322534), we get a palindrome (875545578).

The spelling of 435223044 in words is "four hundred thirty-five million, two hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 81 108 114 122 162 171 183 228 244 324 342 361 366 513 549 684 722 732 1026 1083 1098 1159 1444 1539 1647 2052 2166 2196 2318 3078 3249 3294 3477 3721 4332 4636 4941 6156 6498 6588 6954 7442 9747 9882 10431 11163 12996 13908 14884 19494 19764 20862 22021 22326 29241 31293 33489 38988 41724 44042 44652 58482 62586 66063 66978 70699 88084 93879 100467 116964 125172 132126 133956 141398 187758 198189 200934 212097 264252 282796 301401 375516 396378 401868 424194 594567 602802 636291 792756 848388 1189134 1205604 1272582 1343281 1783701 1908873 2378268 2545164 2686562 3567402 3817746 4029843 5373124 5726619 7134804 7635492 8059686 11453238 12089529 16119372 22906476 24179058 36268587 48358116 72537174 108805761 145074348 217611522 435223044