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434272 = 2541331
BaseRepresentation
bin1101010000001100000
3211001201011
41222001200
5102344042
613150304
73456046
oct1520140
9731634
10434272
11277303
1218b394
13122887
14b4396
1588a17
hex6a060

434272 has 24 divisors (see below), whose sum is σ = 878472. Its totient is φ = 211200.

The previous prime is 434267. The next prime is 434293. The reversal of 434272 is 272434.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1147 + ... + 1477.

It is an arithmetic number, because the mean of its divisors is an integer number (36603).

2434272 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 434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439236).

434272 is an abundant number, since it is smaller than the sum of its proper divisors (444200).

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

434272 is a wasteful number, since it uses less digits than its factorization.

434272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its digits is 1344, while the sum is 22.

The square root of 434272 is about 658.9931714365. The cubic root of 434272 is about 75.7275563713.

The spelling of 434272 in words is "four hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 331 656 662 1312 1324 2648 5296 10592 13571 27142 54284 108568 217136 434272