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34391808 = 2832112359
BaseRepresentation
bin1000001100110…
…0011100000000
32101201021200200
42003030130000
532301014213
63225045200
7565216443
oct203143400
971637620
1034391808
1118460090
12b626800
137181ca9
1447d365a
153045273
hex20cc700

34391808 has 216 divisors, whose sum is σ = 114791040. Its totient is φ = 9799680.

The previous prime is 34391801. The next prime is 34391821. The reversal of 34391808 is 80819343.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34391801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582883 + ... + 582941.

It is an arithmetic number, because the mean of its divisors is an integer number (531440).

Almost surely, 234391808 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 34391808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57395520).

34391808 is an abundant number, since it is smaller than the sum of its proper divisors (80399232).

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

34391808 is a wasteful number, since it uses less digits than its factorization.

34391808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34391808 is about 5864.4529156606. The cubic root of 34391808 is about 325.2008478439.

The spelling of 34391808 in words is "thirty-four million, three hundred ninety-one thousand, eight hundred eight".