Search a number
-
+
429390 = 232513367
BaseRepresentation
bin1101000110101001110
3210211000100
41220311032
5102220030
613111530
73435603
oct1506516
9724010
10429390
11273675
121885a6
131205a0
14b26aa
1587360
hex68d4e

429390 has 48 divisors (see below), whose sum is σ = 1205568. Its totient is φ = 105408.

The previous prime is 429389. The next prime is 429397. The reversal of 429390 is 93924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429397) 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, 987 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (25116).

2429390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602784).

429390 is an abundant number, since it is smaller than the sum of its proper divisors (776178).

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

429390 is a wasteful number, since it uses less digits than its factorization.

429390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 429390 is about 655.2785667180. The cubic root of 429390 is about 75.4427149049.

The spelling of 429390 in words is "four hundred twenty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 367 390 585 734 1101 1170 1835 2202 3303 3670 4771 5505 6606 9542 11010 14313 16515 23855 28626 33030 42939 47710 71565 85878 143130 214695 429390