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434521344 = 2832931931
BaseRepresentation
bin11001111001100…
…100010100000000
31010021121222020010
4121321210110000
51342214140334
6111041144520
713524241035
oct3171442400
91107558203
10434521344
11203304354
1210162b140
136c03a52a
14419cd38c
15282320e9
hex19e64500

434521344 has 72 divisors (see below), whose sum is σ = 1161008352. Its totient is φ = 144271360.

The previous prime is 434521337. The next prime is 434521391. The reversal of 434521344 is 443125434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224059 + ... + 225989.

It is an arithmetic number, because the mean of its divisors is an integer number (16125116).

Almost surely, 2434521344 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 434521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580504176).

434521344 is an abundant number, since it is smaller than the sum of its proper divisors (726487008).

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

434521344 is a wasteful number, since it uses less digits than its factorization.

434521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2229 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 434521344 is about 20845.1755569484. The cubic root of 434521344 is about 757.4204698170.

Adding to 434521344 its reverse (443125434), we get a palindrome (877646778).

The spelling of 434521344 in words is "four hundred thirty-four million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 586 768 879 1172 1758 1931 2344 3516 3862 4688 5793 7032 7724 9376 11586 14064 15448 18752 23172 28128 30896 37504 46344 56256 61792 75008 92688 112512 123584 185376 225024 247168 370752 494336 565783 741504 1131566 1483008 1697349 2263132 3394698 4526264 6789396 9052528 13578792 18105056 27157584 36210112 54315168 72420224 108630336 144840448 217260672 434521344