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434451468 = 2231125472
BaseRepresentation
bin11001111001010…
…011010000001100
31010021111102101010
4121321103100030
51342204421333
6111035445220
713523530233
oct3171232014
91107442333
10434451468
11203266900
121015b6810
136c014799
14419b1b1a
152821b563
hex19e5340c

434451468 has 54 divisors (see below), whose sum is σ = 1116295068. Its totient is φ = 131411280.

The previous prime is 434451467. The next prime is 434451469. The reversal of 434451468 is 864154434.

It is an interprime number because it is at equal distance from previous prime (434451467) and next prime (434451469).

It is not an unprimeable number, because it can be changed into a prime (434451461) 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 17 ways as a sum of consecutive naturals, for example, 793971 + ... + 794517.

Almost surely, 2434451468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434451468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558147534).

434451468 is an abundant number, since it is smaller than the sum of its proper divisors (681843600).

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

434451468 is a wasteful number, since it uses less digits than its factorization.

434451468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 563 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 434451468 is about 20843.4994182839. The cubic root of 434451468 is about 757.3798670168.

The spelling of 434451468 in words is "four hundred thirty-four million, four hundred fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 547 726 1094 1452 1641 2188 3282 6017 6564 12034 18051 24068 36102 66187 72204 132374 198561 264748 299209 397122 598418 794244 897627 1196836 1795254 3291299 3590508 6582598 9873897 13165196 19747794 36204289 39495588 72408578 108612867 144817156 217225734 434451468