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35424144 = 24327113311
BaseRepresentation
bin1000011100100…
…0011110010000
32110122201210100
42013020132100
533032033034
63303132400
7610046250
oct207103620
973581710
1035424144
1118aa5758
12ba44100
137453b42
1449c1960
15319b099
hex21c8790

35424144 has 120 divisors (see below), whose sum is σ = 114671232. Its totient is φ = 9999360.

The previous prime is 35424143. The next prime is 35424161. The reversal of 35424144 is 44142453.

It is a happy number.

It is a super-3 number, since 3×354241443 (a number of 24 digits) contains 333 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35424143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113749 + ... + 114059.

Almost surely, 235424144 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 35424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335616).

35424144 is an abundant number, since it is smaller than the sum of its proper divisors (79247088).

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

35424144 is a wasteful number, since it uses less digits than its factorization.

35424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 35424144 is about 5951.8185456212. The cubic root of 35424144 is about 328.4226655039.

Adding to 35424144 its reverse (44142453), we get a palindrome (79566597).

The spelling of 35424144 in words is "thirty-five million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 311 336 339 452 504 622 678 791 904 933 1008 1017 1244 1356 1582 1808 1866 2034 2177 2373 2488 2712 2799 3164 3732 4068 4354 4746 4976 5424 5598 6328 6531 7119 7464 8136 8708 9492 11196 12656 13062 14238 14928 16272 17416 18984 19593 22392 26124 28476 34832 35143 37968 39186 44784 52248 56952 70286 78372 104496 105429 113904 140572 156744 210858 246001 281144 313488 316287 421716 492002 562288 632574 738003 843432 984004 1265148 1476006 1686864 1968008 2214009 2530296 2952012 3936016 4428018 5060592 5904024 8856036 11808048 17712072 35424144