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34464032 = 251763353
BaseRepresentation
bin1000001101111…
…0000100100000
32101211221202122
42003132010200
532310322112
63230403412
7565640141
oct203360440
971757678
1034464032
11184aa379
12b660568
1371a8b25
144811ac8
15305b872
hex20de120

34464032 has 24 divisors (see below), whose sum is σ = 71843436. Its totient is φ = 16218112.

The previous prime is 34464013. The next prime is 34464037. The reversal of 34464032 is 23046443.

It can be written as a sum of positive squares in 2 ways, for example, as 29986576 + 4477456 = 5476^2 + 2116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34463992 and 34464010.

It is not an unprimeable number, because it can be changed into a prime (34464037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31133 + ... + 32220.

Almost surely, 234464032 is an apocalyptic number.

34464032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34464032 is an abundant number, since it is smaller than the sum of its proper divisors (37379404).

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

34464032 is a wasteful number, since it uses less digits than its factorization.

34464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63380 (or 63372 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 34464032 is about 5870.6074643090. The cubic root of 34464032 is about 325.4283330617.

The spelling of 34464032 in words is "thirty-four million, four hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 63353 126706 253412 506824 1013648 1077001 2027296 2154002 4308004 8616008 17232016 34464032