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234424032 = 2534615297
BaseRepresentation
bin11011111100100…
…00011011100000
3121100002222022120
431332100123200
5440003032112
635132304240
75544366663
oct1576203340
9540088276
10234424032
11110365277
1266612080
133974ab5b
14231c36da
15158a8e8c
hexdf906e0

234424032 has 48 divisors (see below), whose sum is σ = 616814352. Its totient is φ = 77957120.

The previous prime is 234424031. The next prime is 234424061. The reversal of 234424032 is 230424432.

234424032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 234423993 and 234424011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234424031) 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, 41608 + ... + 46904.

It is an arithmetic number, because the mean of its divisors is an integer number (12850299).

Almost surely, 2234424032 is an apocalyptic number.

It is an amenable number.

234424032 is an abundant number, since it is smaller than the sum of its proper divisors (382390320).

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

234424032 is a wasteful number, since it uses less digits than its factorization.

234424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 234424032 is about 15310.9121870645. The cubic root of 234424032 is about 616.5960105396.

Adding to 234424032 its reverse (230424432), we get a palindrome (464848464).

The spelling of 234424032 in words is "two hundred thirty-four million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 461 922 1383 1844 2766 3688 5297 5532 7376 10594 11064 14752 15891 21188 22128 31782 42376 44256 63564 84752 127128 169504 254256 508512 2441917 4883834 7325751 9767668 14651502 19535336 29303004 39070672 58606008 78141344 117212016 234424032