Search a number
-
+
428358 = 23723147
BaseRepresentation
bin1101000100101000110
3210202121010
41220211012
5102201413
613103050
73432600
oct1504506
9722533
10428358
11272917
12187a86
1311cc88
14b2170
1586dc3
hex68946

428358 has 48 divisors (see below), whose sum is σ = 1050624. Its totient is φ = 115920.

The previous prime is 428353. The next prime is 428369. The reversal of 428358 is 853824.

428358 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428353) 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, 9091 + ... + 9137.

It is an arithmetic number, because the mean of its divisors is an integer number (21888).

2428358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525312).

428358 is an abundant number, since it is smaller than the sum of its proper divisors (622266).

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

428358 is a wasteful number, since it uses less digits than its factorization.

428358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 428358 is about 654.4906416443. The cubic root of 428358 is about 75.3822265072.

The spelling of 428358 in words is "four hundred twenty-eight thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 47 49 62 93 94 98 141 147 186 217 282 294 329 434 651 658 987 1302 1457 1519 1974 2303 2914 3038 4371 4557 4606 6909 8742 9114 10199 13818 20398 30597 61194 71393 142786 214179 428358