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146034 = 23271961
BaseRepresentation
bin100011101001110010
321102022200
4203221302
514133114
63044030
71145520
oct435162
9242280
10146034
119a799
1270616
1351615
143b310
152d409
hex23a72

146034 has 48 divisors (see below), whose sum is σ = 386880. Its totient is φ = 38880.

The previous prime is 146033. The next prime is 146051. The reversal of 146034 is 430641.

146034 is nontrivially palindromic in base 13.

146034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145998 and 146016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146034.

It is not an unprimeable number, because it can be changed into a prime (146033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2364 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2146034 is an apocalyptic number.

146034 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 146034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

146034 is an abundant number, since it is smaller than the sum of its proper divisors (240846).

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

146034 is a wasteful number, since it uses less digits than its factorization.

146034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 146034 is about 382.1439519343. The cubic root of 146034 is about 52.6604614456.

Adding to 146034 its reverse (430641), we get a palindrome (576675).

The spelling of 146034 in words is "one hundred forty-six thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 61 63 114 122 126 133 171 183 266 342 366 399 427 549 798 854 1098 1159 1197 1281 2318 2394 2562 3477 3843 6954 7686 8113 10431 16226 20862 24339 48678 73017 146034