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35423440 = 2451334061
BaseRepresentation
bin1000011100100…
…0010011010000
32110122200211021
42013020103100
533032022230
63303125224
7610044223
oct207102320
973580737
1035423440
1118aa5178
12ba43814
137453720
1449c15ba
15319ac7a
hex21c84d0

35423440 has 40 divisors (see below), whose sum is σ = 88697448. Its totient is φ = 13079040.

The previous prime is 35423417. The next prime is 35423447. The reversal of 35423440 is 4432453.

It can be written as a sum of positive squares in 4 ways, for example, as 2383936 + 33039504 = 1544^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×354234403 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35423447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15991 + ... + 18070.

Almost surely, 235423440 is an apocalyptic number.

It is an amenable number.

35423440 is an abundant number, since it is smaller than the sum of its proper divisors (53274008).

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

35423440 is a wasteful number, since it uses less digits than its factorization.

35423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34087 (or 34081 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 35423440 is about 5951.7594037394. The cubic root of 35423440 is about 328.4204898588.

Adding to 35423440 its reverse (4432453), we get a palindrome (39855893).

The spelling of 35423440 in words is "thirty-five million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 34061 68122 136244 170305 272488 340610 442793 544976 681220 885586 1362440 1771172 2213965 2724880 3542344 4427930 7084688 8855860 17711720 35423440