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434472 = 23343421
BaseRepresentation
bin1101010000100101000
3211001222120
41222010220
5102400342
613151240
73456453
oct1520450
9731876
10434472
11277475
1218b520
131229ac
14b449a
1588aec
hex6a128

434472 has 32 divisors (see below), whose sum is σ = 1114080. Its totient is φ = 141120.

The previous prime is 434471. The next prime is 434479. The reversal of 434472 is 274434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (434471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (34815).

2434472 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 434472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557040).

434472 is an abundant number, since it is smaller than the sum of its proper divisors (679608).

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

434472 is a wasteful number, since it uses less digits than its factorization.

434472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 434472 is about 659.1449006099. The cubic root of 434472 is about 75.7391797984.

The spelling of 434472 in words is "four hundred thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 421 516 842 1032 1263 1684 2526 3368 5052 10104 18103 36206 54309 72412 108618 144824 217236 434472