Search a number
-
+
434460 = 223513557
BaseRepresentation
bin1101010000100011100
3211001222010
41222010130
5102400320
613151220
73456435
oct1520434
9731863
10434460
11277464
1218b510
131229a0
14b448c
1588ae0
hex6a11c

434460 has 48 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 106752.

The previous prime is 434459. The next prime is 434461. The reversal of 434460 is 64434.

434460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (434459) and next prime (434461).

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 434460.

It is not an unprimeable number, because it can be changed into a prime (434461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2434460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

434460 is an abundant number, since it is smaller than the sum of its proper divisors (877956).

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

434460 is a wasteful number, since it uses less digits than its factorization.

434460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 434460 is about 659.1357978444. The cubic root of 434460 is about 75.7384824934.

Adding to 434460 its reverse (64434), we get a palindrome (498894).

The spelling of 434460 in words is "four hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 557 780 1114 1671 2228 2785 3342 5570 6684 7241 8355 11140 14482 16710 21723 28964 33420 36205 43446 72410 86892 108615 144820 217230 434460