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34378128 = 243379579
BaseRepresentation
bin1000001100100…
…1000110010000
32101200120221000
42003021012100
532300100003
63224502000
7565131531
oct203110620
971616830
1034378128
1118450884
12b61a900
1371789b5
1447cc688
1530411a3
hex20c9190

34378128 has 40 divisors (see below), whose sum is σ = 98679200. Its totient is φ = 11459232.

The previous prime is 34378121. The next prime is 34378147. The reversal of 34378128 is 82187343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34378092 and 34378101.

It is not an unprimeable number, because it can be changed into a prime (34378121) 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, 39358 + ... + 40221.

It is an arithmetic number, because the mean of its divisors is an integer number (2466980).

Almost surely, 234378128 is an apocalyptic number.

It is an amenable number.

34378128 is an abundant number, since it is smaller than the sum of its proper divisors (64301072).

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

34378128 is a wasteful number, since it uses less digits than its factorization.

34378128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79596 (or 79584 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 34378128 is about 5863.2864504474. The cubic root of 34378128 is about 325.1577238381.

The spelling of 34378128 in words is "thirty-four million, three hundred seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 79579 159158 238737 318316 477474 636632 716211 954948 1273264 1432422 1909896 2148633 2864844 3819792 4297266 5729688 8594532 11459376 17189064 34378128