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434906016 = 2534530271
BaseRepresentation
bin11001111011000…
…010001110100000
31010022100111220020
4121323002032200
51342313443031
6111053313440
713530432366
oct3173021640
91108314806
10434906016
11203547366
12101795880
136c14364c
1441a8d636
15282ab096
hex19ec23a0

434906016 has 24 divisors (see below), whose sum is σ = 1141628544. Its totient is φ = 144968640.

The previous prime is 434906009. The next prime is 434906071. The reversal of 434906016 is 610609434.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2265040 + ... + 2265231.

It is an arithmetic number, because the mean of its divisors is an integer number (47567856).

Almost surely, 2434906016 is an apocalyptic number.

It is an amenable number.

434906016 is an abundant number, since it is smaller than the sum of its proper divisors (706722528).

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

434906016 is a wasteful number, since it uses less digits than its factorization.

434906016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530284 (or 4530276 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 434906016 is about 20854.4003989566. The cubic root of 434906016 is about 757.6439130115.

The spelling of 434906016 in words is "four hundred thirty-four million, nine hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4530271 9060542 13590813 18121084 27181626 36242168 54363252 72484336 108726504 144968672 217453008 434906016