Search a number
-
+
34397880 = 233511223103
BaseRepresentation
bin1000001100110…
…1111010111000
32101201121000120
42003031322320
532301213010
63225133240
7565243236
oct203157270
971647016
1034397880
1118464700
12b62a220
13718499a
1447d5956
153046e70
hex20cdeb8

34397880 has 192 divisors, whose sum is σ = 119508480. Its totient is φ = 7898880.

The previous prime is 34397863. The next prime is 34397887. The reversal of 34397880 is 8879343.

34397880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34397887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333909 + ... + 334011.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 234397880 is an apocalyptic number.

34397880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34397880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

34397880 is an abundant number, since it is smaller than the sum of its proper divisors (85110600).

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

34397880 is a wasteful number, since it uses less digits than its factorization.

34397880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 34397880 is about 5864.9705881615. The cubic root of 34397880 is about 325.2199851857.

The spelling of 34397880 in words is "thirty-four million, three hundred ninety-seven thousand, eight hundred eighty".