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434412 = 2232111097
BaseRepresentation
bin1101010000011101100
3211001220100
41222003230
5102400122
613151100
73456336
oct1520354
9731810
10434412
11277420
1218b490
13122964
14b4456
1588aac
hex6a0ec

434412 has 36 divisors (see below), whose sum is σ = 1199016. Its totient is φ = 131520.

The previous prime is 434411. The next prime is 434431. The reversal of 434412 is 214434.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (434411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (33306).

2434412 is an apocalyptic number.

It is an amenable number.

434412 is an abundant number, since it is smaller than the sum of its proper divisors (764604).

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

434412 is a wasteful number, since it uses less digits than its factorization.

434412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1113 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 434412 is about 659.0993855254. The cubic root of 434412 is about 75.7356931449.

Adding to 434412 its reverse (214434), we get a palindrome (648846).

It can be divided in two parts, 4344 and 12, that added together give a square (4356 = 662).

The spelling of 434412 in words is "four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1097 2194 3291 4388 6582 9873 12067 13164 19746 24134 36201 39492 48268 72402 108603 144804 217206 434412