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434684940 = 22357699421
BaseRepresentation
bin11001111010001…
…100010000001100
31010021221021122020
4121322030100030
51342234404230
6111044450140
713525522014
oct3172142014
91107837566
10434684940
11203406258
121016a9950
136c096b31
1441a32c44
1528265810
hex19e8c40c

434684940 has 48 divisors (see below), whose sum is σ = 1218829920. Its totient is φ = 115752960.

The previous prime is 434684927. The next prime is 434684947. The reversal of 434684940 is 49486434.

It is a junction number, because it is equal to n+sod(n) for n = 434684892 and 434684901.

It is not an unprimeable number, because it can be changed into a prime (434684947) 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, 41430 + ... + 50850.

It is an arithmetic number, because the mean of its divisors is an integer number (25392290).

Almost surely, 2434684940 is an apocalyptic number.

It is an amenable number.

434684940 is an abundant number, since it is smaller than the sum of its proper divisors (784144980).

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

434684940 is a wasteful number, since it uses less digits than its factorization.

434684940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 434684940 is about 20849.0992611192. The cubic root of 434684940 is about 757.5155134119.

The spelling of 434684940 in words is "four hundred thirty-four million, six hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 769 1538 2307 3076 3845 4614 7690 9228 9421 11535 15380 18842 23070 28263 37684 46140 47105 56526 94210 113052 141315 188420 282630 565260 7244749 14489498 21734247 28978996 36223745 43468494 72447490 86936988 108671235 144894980 217342470 434684940