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434220534 = 233113123581
BaseRepresentation
bin11001111000011…
…010110111110110
31010021001200121000
4121320122313312
51342130024114
6111030504130
713521546036
oct3170326766
91107050530
10434220534
11203119350
12101505046
136bc63637
14419518c6
15281c2e09
hex19e1adf6

434220534 has 64 divisors (see below), whose sum is σ = 1086658560. Its totient is φ = 127332000.

The previous prime is 434220533. The next prime is 434220551. The reversal of 434220534 is 435022434.

434220534 is a `hidden beast` number, since 434 + 220 + 5 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434220498 and 434220507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434220533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6624 + ... + 30204.

It is an arithmetic number, because the mean of its divisors is an integer number (16979040).

Almost surely, 2434220534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434220534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543329280).

434220534 is an abundant number, since it is smaller than the sum of its proper divisors (652438026).

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

434220534 is a wasteful number, since it uses less digits than its factorization.

434220534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23634 (or 23628 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 434220534 is about 20837.9589691505. The cubic root of 434220534 is about 757.2456473746.

Adding to 434220534 its reverse (435022434), we get a palindrome (869242968).

The spelling of 434220534 in words is "four hundred thirty-four million, two hundred twenty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 18414 23581 47162 70743 141486 212229 259391 424458 518782 636687 731011 778173 1273374 1462022 1556346 2193033 2334519 4386066 4669038 6579099 7003557 8041121 13158198 14007114 16082242 19737297 24123363 39474594 48246726 72370089 144740178 217110267 434220534