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34888 = 237289
BaseRepresentation
bin1000100001001000
31202212011
420201020
52104023
6425304
7203500
oct104110
952764
1034888
1124237
1218234
1312b59
14ca00
15a50d
hex8848

34888 has 24 divisors (see below), whose sum is σ = 76950. Its totient is φ = 14784.

The previous prime is 34883. The next prime is 34897. The reversal of 34888 is 88843.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 1764 = 182^2 + 42^2 .

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (34883) by changing a digit.

34888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 348 + ... + 436.

234888 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 34888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38475).

34888 is an abundant number, since it is smaller than the sum of its proper divisors (42062).

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

34888 is a wasteful number, since it uses less digits than its factorization.

34888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 34888 is about 186.7832968978. The cubic root of 34888 is about 32.6757344441.

The spelling of 34888 in words is "thirty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 356 392 623 712 1246 2492 4361 4984 8722 17444 34888