Search a number
-
+
434644028 = 227134632579
BaseRepresentation
bin11001111010000…
…010010000111100
31010021212012111222
4121322002100330
51342232102103
6111043532512
713525261520
oct3172022074
91107765458
10434644028
11203388545
1210168a138
136c081320
1441a21d80
1528258638
hex19e8243c

434644028 has 48 divisors (see below), whose sum is σ = 938542080. Its totient is φ = 171509184.

The previous prime is 434644003. The next prime is 434644051. The reversal of 434644028 is 820446434.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 167243 + ... + 169821.

It is an arithmetic number, because the mean of its divisors is an integer number (19552960).

Almost surely, 2434644028 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 434644028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469271040).

434644028 is an abundant number, since it is smaller than the sum of its proper divisors (503898052).

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

434644028 is a wasteful number, since it uses less digits than its factorization.

434644028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 434644028 is about 20848.1180925282. The cubic root of 434644028 is about 757.4917471970.

The spelling of 434644028 in words is "four hundred thirty-four million, six hundred forty-four thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 463 926 1852 2579 3241 5158 6019 6482 10316 12038 12964 18053 24076 33527 36106 42133 67054 72212 84266 134108 168532 234689 469378 938756 1194077 2388154 4776308 8358539 15523001 16717078 31046002 33434156 62092004 108661007 217322014 434644028