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434606484 = 223132312223
BaseRepresentation
bin11001111001111…
…001000110010100
31010021210022000110
4121321321012110
51342224401414
6111043043020
713525044204
oct3171710624
91107708013
10434606484
11203362314
12101670470
136c06a200
1441a12404
152824c459
hex19e79194

434606484 has 108 divisors (see below), whose sum is σ = 1139741568. Its totient is φ = 128831040.

The previous prime is 434606483. The next prime is 434606489. The reversal of 434606484 is 484606434.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434606483) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1948797 + ... + 1949019.

Almost surely, 2434606484 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 434606484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569870784).

434606484 is an abundant number, since it is smaller than the sum of its proper divisors (705135084).

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

434606484 is a wasteful number, since it uses less digits than its factorization.

434606484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 434606484 is about 20847.2176560806. The cubic root of 434606484 is about 757.4699361768.

The spelling of 434606484 in words is "four hundred thirty-four million, six hundred six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 223 338 372 403 446 507 669 676 806 892 961 1014 1209 1338 1612 1922 2028 2418 2676 2883 2899 3844 4836 5239 5766 5798 6913 8697 10478 11532 11596 12493 13826 15717 17394 20739 20956 24986 27652 31434 34788 37479 37687 41478 49972 62868 74958 75374 82956 89869 113061 149916 150748 162409 179738 214303 226122 269607 324818 359476 428606 452244 487227 539214 642909 649636 857212 974454 1078428 1168297 1285818 1948908 2336594 2571636 2785939 3504891 4673188 5571878 7009782 8357817 11143756 14019564 16715634 33431268 36217207 72434414 108651621 144868828 217303242 434606484