Search a number
-
+
434148 = 2231121323
BaseRepresentation
bin1101001111111100100
3211001112120
41221333210
5102343043
613145540
73455511
oct1517744
9731476
10434148
11277200
1218b2b0
131227c0
14b4308
1588983
hex69fe4

434148 has 72 divisors (see below), whose sum is σ = 1251264. Its totient is φ = 116160.

The previous prime is 434141. The next prime is 434167. The reversal of 434148 is 841434.

It is not an unprimeable number, because it can be changed into a prime (434141) 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, 18865 + ... + 18887.

2434148 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 434148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625632).

434148 is an abundant number, since it is smaller than the sum of its proper divisors (817116).

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

434148 is a wasteful number, since it uses less digits than its factorization.

434148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 434148 is about 658.8990818024. The cubic root of 434148 is about 75.7203480541.

The spelling of 434148 in words is "four hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 121 132 138 143 156 242 253 276 286 299 363 429 484 506 572 598 726 759 858 897 1012 1196 1452 1518 1573 1716 1794 2783 3036 3146 3289 3588 4719 5566 6292 6578 8349 9438 9867 11132 13156 16698 18876 19734 33396 36179 39468 72358 108537 144716 217074 434148