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434112440 = 23519156821
BaseRepresentation
bin11001111000000…
…000011110111000
31010020212012022112
4121320000132320
51342113044230
6111024311452
713520615636
oct3170003670
91106765275
10434112440
11203055113
12101472588
136bc26388
1441924356
15281a0d95
hex19e007b8

434112440 has 32 divisors (see below), whose sum is σ = 981884160. Its totient is φ = 172732800.

The previous prime is 434112433. The next prime is 434112449. The reversal of 434112440 is 44211434.

It is a happy number.

It is a super-2 number, since 2×4341124402 = 376907221125507200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434112449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20771 + ... + 36050.

It is an arithmetic number, because the mean of its divisors is an integer number (30683880).

Almost surely, 2434112440 is an apocalyptic number.

434112440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434112440 is an abundant number, since it is smaller than the sum of its proper divisors (547771720).

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

434112440 is a wasteful number, since it uses less digits than its factorization.

434112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57023 (or 57019 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 434112440 is about 20835.3651275902. The cubic root of 434112440 is about 757.1828064157.

Adding to 434112440 its reverse (44211434), we get a palindrome (478323874).

The spelling of 434112440 in words is "four hundred thirty-four million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 191 382 764 955 1528 1910 3820 7640 56821 113642 227284 284105 454568 568210 1136420 2272840 10852811 21705622 43411244 54264055 86822488 108528110 217056220 434112440