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34043232 = 2531312707
BaseRepresentation
bin1000000111011…
…1010101100000
32101001120112110
42001313111200
532203340412
63213355320
7562235256
oct201672540
971046473
1034043232
1118242203
12b498b40
13708c432
1447425d6
152ec6d3c
hex2077560

34043232 has 48 divisors (see below), whose sum is σ = 90078912. Its totient is φ = 11256960.

The previous prime is 34043189. The next prime is 34043237. The reversal of 34043232 is 23234043.

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

It is a junction number, because it is equal to n+sod(n) for n = 34043199 and 34043208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11223 + ... + 13929.

It is an arithmetic number, because the mean of its divisors is an integer number (1876644).

Almost surely, 234043232 is an apocalyptic number.

34043232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34043232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45039456).

34043232 is an abundant number, since it is smaller than the sum of its proper divisors (56035680).

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

34043232 is a wasteful number, since it uses less digits than its factorization.

34043232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34043232 is about 5834.6578305844. The cubic root of 34043232 is about 324.0984306944.

Adding to 34043232 its reverse (23234043), we get a palindrome (57277275).

The spelling of 34043232 in words is "thirty-four million, forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 2707 3144 4192 5414 6288 8121 10828 12576 16242 21656 32484 43312 64968 86624 129936 259872 354617 709234 1063851 1418468 2127702 2836936 4255404 5673872 8510808 11347744 17021616 34043232