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434439828 = 223317231449
BaseRepresentation
bin11001111001010…
…000011010010100
31010021110211102000
4121321100122110
51342204033303
6111035315300
713523451264
oct3171203224
91107424360
10434439828
11203259089
121015abb30
136c00c3b4
14419ab7a4
1528217da3
hex19e50694

434439828 has 144 divisors (see below), whose sum is σ = 1237824000. Its totient is φ = 131604480.

The previous prime is 434439827. The next prime is 434439839. The reversal of 434439828 is 828934434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434439821) 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 47 ways as a sum of consecutive naturals, for example, 967348 + ... + 967796.

It is an arithmetic number, because the mean of its divisors is an integer number (8596000).

Almost surely, 2434439828 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 434439828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618912000).

434439828 is an abundant number, since it is smaller than the sum of its proper divisors (803384172).

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

434439828 is a wasteful number, since it uses less digits than its factorization.

434439828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 502 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 434439828 is about 20843.2201926670. The cubic root of 434439828 is about 757.3731029468.

The spelling of 434439828 in words is "four hundred thirty-four million, four hundred thirty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 289 306 372 449 459 527 558 578 612 837 867 898 918 1054 1116 1156 1347 1581 1674 1734 1796 1836 2108 2601 2694 3162 3348 3468 4041 4743 5202 5388 6324 7633 7803 8082 8959 9486 10404 12123 13919 14229 15266 15606 16164 17918 18972 22899 24246 26877 27838 28458 30532 31212 35836 41757 45798 48492 53754 55676 56916 68697 80631 83514 91596 107508 125271 129761 137394 161262 167028 206091 236623 241893 250542 259522 274788 322524 375813 389283 412182 473246 483786 501084 519044 709869 751626 778566 824364 946492 967572 1167849 1419738 1503252 1557132 2129607 2335698 2839476 3503547 4022591 4259214 4671396 6388821 7007094 8045182 8518428 12067773 12777642 14014188 16090364 24135546 25555284 36203319 48271092 72406638 108609957 144813276 217219914 434439828