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34880238 = 23219791291
BaseRepresentation
bin1000010100001…
…1101011101110
32102122002200200
42011003223232
532412131423
63243334330
7602322441
oct205035356
972562620
1034880238
1118764048
12b8213a6
1372c33c3
1448bd658
1530ded43
hex2143aee

34880238 has 48 divisors (see below), whose sum is σ = 80620800. Its totient is φ = 10866960.

The previous prime is 34880189. The next prime is 34880273. The reversal of 34880238 is 83208843.

It is a happy number.

34880238 is a `hidden beast` number, since 348 + 80 + 238 = 666.

34880238 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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26373 + ... + 27663.

It is an arithmetic number, because the mean of its divisors is an integer number (1679600).

Almost surely, 234880238 is an apocalyptic number.

34880238 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34880238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40310400).

34880238 is an abundant number, since it is smaller than the sum of its proper divisors (45740562).

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

34880238 is a wasteful number, since it uses less digits than its factorization.

34880238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 34880238 is about 5905.9493733015. The cubic root of 34880238 is about 326.7331099517.

The spelling of 34880238 in words is "thirty-four million, eight hundred eighty thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1291 1422 1501 2582 3002 3873 4503 7746 9006 11619 13509 23238 24529 27018 49058 73587 101989 147174 203978 220761 305967 441522 611934 917901 1835802 1937791 3875582 5813373 11626746 17440119 34880238