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3302423320 = 23578921489
BaseRepresentation
bin1100010011010110…
…1111101100011000
322112011002111010211
43010311233230120
523230410021240
61303410220504
7144560064220
oct30465575430
98464074124
103302423320
11144514a579
12781b84734
13408250351
1423484b080
15144dd0bea
hexc4d6fb18

3302423320 has 96 divisors (see below), whose sum is σ = 8594200800. Its totient is φ = 1118785536.

The previous prime is 3302423317. The next prime is 3302423347. The reversal of 3302423320 is 233242033.

It is a junction number, because it is equal to n+sod(n) for n = 3302423291 and 3302423300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2217136 + ... + 2218624.

It is an arithmetic number, because the mean of its divisors is an integer number (89522925).

Almost surely, 23302423320 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 3302423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297100400).

3302423320 is an abundant number, since it is smaller than the sum of its proper divisors (5291777480).

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

3302423320 is a wasteful number, since it uses less digits than its factorization.

3302423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 3302423320 is about 57466.7148878375. The cubic root of 3302423320 is about 1489.1698933077.

Adding to 3302423320 its reverse (233242033), we get a palindrome (3535665353).

The spelling of 3302423320 in words is "three billion, three hundred two million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1489 1780 2492 2978 3115 3560 4984 5956 6230 7445 7921 10423 11912 12460 14890 15842 20846 24920 29780 31684 39605 41692 52115 55447 59560 63368 79210 83384 104230 110894 132521 158420 208460 221788 265042 277235 316840 416920 443576 530084 554470 662605 927647 1060168 1108940 1325210 1855294 2217880 2650420 3710588 4638235 5300840 7421176 9276470 11794369 18552940 23588738 37105880 47177476 58971845 82560583 94354952 117943690 165121166 235887380 330242332 412802915 471774760 660484664 825605830 1651211660 3302423320