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34500114 = 233112412
BaseRepresentation
bin1000001110011…
…0111000010010
32101220210021000
42003212320102
532313000424
63231242430
7566150265
oct203467022
971823230
1034500114
11185244a0
12b679416
1371bc38c
144820cdc
1530673c9
hex20e6e12

34500114 has 48 divisors (see below), whose sum is σ = 83985120. Its totient is φ = 10411200.

The previous prime is 34500097. The next prime is 34500119. The reversal of 34500114 is 41100543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34500119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143034 + ... + 143274.

It is an arithmetic number, because the mean of its divisors is an integer number (1749690).

Almost surely, 234500114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34500114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41992560).

34500114 is an abundant number, since it is smaller than the sum of its proper divisors (49485006).

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

34500114 is a wasteful number, since it uses less digits than its factorization.

34500114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34500114 is about 5873.6797665518. The cubic root of 34500114 is about 325.5418621434.

Adding to 34500114 its reverse (41100543), we get a palindrome (75600657).

The spelling of 34500114 in words is "thirty-four million, five hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 241 297 482 594 723 1446 2169 2651 4338 5302 6507 7953 13014 15906 23859 47718 58081 71577 116162 143154 174243 348486 522729 638891 1045458 1277782 1568187 1916673 3136374 3833346 5750019 11500038 17250057 34500114