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34374080 = 265138263
BaseRepresentation
bin1000001100100…
…0000111000000
32101200101101002
42003020013000
532244432310
63224431132
7565113656
oct203100700
971611332
1034374080
1118448834
12b6184a8
137176bc0
1447cadd6
15303eda5
hex20c81c0

34374080 has 56 divisors (see below), whose sum is σ = 88160352. Its totient is φ = 12690432.

The previous prime is 34374047. The next prime is 34374089. The reversal of 34374080 is 8047343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29 + ... + 8291.

It is an arithmetic number, because the mean of its divisors is an integer number (1574292).

Almost surely, 234374080 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 34374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44080176).

34374080 is an abundant number, since it is smaller than the sum of its proper divisors (53786272).

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

34374080 is a wasteful number, since it uses less digits than its factorization.

34374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 34374080 is about 5862.9412413907. The cubic root of 34374080 is about 325.1449609739.

The spelling of 34374080 in words is "thirty-four million, three hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 8263 16526 33052 41315 66104 82630 107419 132208 165260 214838 264416 330520 429676 528832 537095 661040 859352 1074190 1322080 1718704 2148380 2644160 3437408 4296760 6874816 8593520 17187040 34374080