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3444303324 = 22371125114851
BaseRepresentation
bin1100110101001011…
…1110010111011100
322220001001201220210
43031102332113130
524023220201244
61325435212420
7151232044440
oct31522762734
98801051823
103444303324
111508246080
128015a7110
1342b768307
14249620820
151525a94b9
hexcd4be5dc

3444303324 has 96 divisors (see below), whose sum is σ = 10060388352. Its totient is φ = 891000000.

The previous prime is 3444303251. The next prime is 3444303347. The reversal of 3444303324 is 4233034443.

It is a junction number, because it is equal to n+sod(n) for n = 3444303291 and 3444303300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224499 + ... + 239349.

It is an arithmetic number, because the mean of its divisors is an integer number (104795712).

Almost surely, 23444303324 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 3444303324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030194176).

3444303324 is an abundant number, since it is smaller than the sum of its proper divisors (6616085028).

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

3444303324 is a wasteful number, since it uses less digits than its factorization.

3444303324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127 (or 15125 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

The square root of 3444303324 is about 58688.1872611516. The cubic root of 3444303324 is about 1510.1976736376.

Adding to 3444303324 its reverse (4233034443), we get a palindrome (7677337767).

The spelling of 3444303324 in words is "three billion, four hundred forty-four million, three hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 251 308 462 502 753 924 1004 1506 1757 2761 3012 3514 5271 5522 7028 8283 10542 11044 14851 16566 19327 21084 29702 33132 38654 44553 57981 59404 77308 89106 103957 115962 163361 178212 207914 231924 311871 326722 415828 490083 623742 653444 980166 1143527 1247484 1960332 2287054 3430581 3727601 4574108 6861162 7455202 11182803 13722324 14910404 22365606 26093207 41003611 44731212 52186414 78279621 82007222 104372828 123010833 156559242 164014444 246021666 287025277 313118484 492043332 574050554 861075831 1148101108 1722151662 3444303324