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188034 = 23711237
BaseRepresentation
bin101101111010000010
3100112221020
4231322002
522004114
64010310
71412130
oct557202
9315836
10188034
11119300
1290996
1367782
144c750
153aaa9
hex2de82

188034 has 48 divisors (see below), whose sum is σ = 485184. Its totient is φ = 47520.

The previous prime is 188029. The next prime is 188107. The reversal of 188034 is 430881.

188034 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 187995 and 188013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5064 + ... + 5100.

It is an arithmetic number, because the mean of its divisors is an integer number (10108).

2188034 is an apocalyptic number.

188034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 188034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242592).

188034 is an abundant number, since it is smaller than the sum of its proper divisors (297150).

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

188034 is a wasteful number, since it uses less digits than its factorization.

188034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 188034 is about 433.6288735774. The cubic root of 188034 is about 57.2899963958.

The spelling of 188034 in words is "one hundred eighty-eight thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 121 154 222 231 242 259 363 407 462 518 726 777 814 847 1221 1554 1694 2442 2541 2849 4477 5082 5698 8547 8954 13431 17094 26862 31339 62678 94017 188034