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34423272 = 23331322341
BaseRepresentation
bin1000001101010…
…0000111101000
32101202212212000
42003110013220
532303021042
63225451000
7565410252
oct203240750
971685760
1034423272
1118481794
12b640a60
137193400
144800cd2
15304e74c
hex20d41e8

34423272 has 192 divisors, whose sum is σ = 110678400. Its totient is φ = 9884160.

The previous prime is 34423253. The next prime is 34423273. The reversal of 34423272 is 27232443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34423273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839572 + ... + 839612.

It is an arithmetic number, because the mean of its divisors is an integer number (576450).

Almost surely, 234423272 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 34423272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

34423272 is an abundant number, since it is smaller than the sum of its proper divisors (76255128).

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

34423272 is a wasteful number, since it uses less digits than its factorization.

34423272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 34423272 is about 5867.1349055565. The cubic root of 34423272 is about 325.2999896774.

The spelling of 34423272 in words is "thirty-four million, four hundred twenty-three thousand, two hundred seventy-two".