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434768 = 2429937
BaseRepresentation
bin1101010001001010000
3211002101112
41222021100
5102403033
613152452
73460355
oct1521120
9732345
10434768
11277714
1218b728
13122b79
14b462c
1588c48
hex6a250

434768 has 20 divisors (see below), whose sum is σ = 872340. Its totient is φ = 209664.

The previous prime is 434761. The next prime is 434783. The reversal of 434768 is 867434.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 327184 = 328^2 + 572^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434761) by changing a digit.

434768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 5 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (43617).

2434768 is an apocalyptic number.

It is an amenable number.

434768 is an abundant number, since it is smaller than the sum of its proper divisors (437572).

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

434768 is a wasteful number, since it uses less digits than its factorization.

434768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 434768 is about 659.3693957108. The cubic root of 434768 is about 75.7563759260.

The spelling of 434768 in words is "four hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 937 1874 3748 7496 14992 27173 54346 108692 217384 434768