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429030 = 23357227
BaseRepresentation
bin1101000101111100110
3210210112000
41220233212
5102212110
613110130
73434550
oct1505746
9723460
10429030
11273378
12188346
13120384
14b24d0
15871c0
hex68be6

429030 has 64 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 97632.

The previous prime is 429017. The next prime is 429043. The reversal of 429030 is 30924.

429030 = 3262 + 3272 + ... + 3292.

It is an interprime number because it is at equal distance from previous prime (429017) and next prime (429043).

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

It is a junction number, because it is equal to n+sod(n) for n = 428994 and 429012.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1777 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2429030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

429030 is an abundant number, since it is smaller than the sum of its proper divisors (884250).

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

429030 is a wasteful number, since it uses less digits than its factorization.

429030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 429030 is about 655.0038167828. The cubic root of 429030 is about 75.4216253196.

Adding to 429030 its reverse (30924), we get a palindrome (459954).

The spelling of 429030 in words is "four hundred twenty-nine thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 227 270 315 378 454 630 681 945 1135 1362 1589 1890 2043 2270 3178 3405 4086 4767 6129 6810 7945 9534 10215 12258 14301 15890 20430 23835 28602 30645 42903 47670 61290 71505 85806 143010 214515 429030