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434381808 = 24374912633
BaseRepresentation
bin11001111001000…
…010001111110000
31010021100212211010
4121321002033300
51342200204213
6111034150520
713523120160
oct3171021760
91107325733
10434381808
11203219533
12101582440
136bcbbb73
14419945a0
1528205ac3
hex19e423f0

434381808 has 80 divisors (see below), whose sum is σ = 1285560576. Its totient is φ = 123809280.

The previous prime is 434381789. The next prime is 434381809. The reversal of 434381808 is 808183434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434381809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163660 + ... + 166292.

Almost surely, 2434381808 is an apocalyptic number.

434381808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434381808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642780288).

434381808 is an abundant number, since it is smaller than the sum of its proper divisors (851178768).

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

434381808 is a wasteful number, since it uses less digits than its factorization.

434381808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 434381808 is about 20841.8283267088. The cubic root of 434381808 is about 757.3393853938.

The spelling of 434381808 in words is "four hundred thirty-four million, three hundred eighty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 491 982 1473 1964 2633 2946 3437 3928 5266 5892 6874 7856 7899 10311 10532 11784 13748 15798 18431 20622 21064 23568 27496 31596 36862 41244 42128 54992 55293 63192 73724 82488 110586 126384 147448 164976 221172 294896 442344 884688 1292803 2585606 3878409 5171212 7756818 9049621 10342424 15513636 18099242 20684848 27148863 31027272 36198484 54297726 62054544 72396968 108595452 144793936 217190904 434381808