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3285189320 = 235724493733
BaseRepresentation
bin1100001111010000…
…0000001011001000
322110221122220112112
43003310000023020
523212002024240
61301553001452
7144260435300
oct30364001310
98427586475
103285189320
1114364493a6
12778253288
134047c7c0a
14232442600
15143629665
hexc3d002c8

3285189320 has 96 divisors (see below), whose sum is σ = 8619939000. Its totient is φ = 1123540992.

The previous prime is 3285189283. The next prime is 3285189389. The reversal of 3285189320 is 239815823.

It can be written as a sum of positive squares in 4 ways, for example, as 2825772964 + 459416356 = 53158^2 + 21434^2 .

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 23 ways as a sum of consecutive naturals, for example, 878174 + ... + 881906.

Almost surely, 23285189320 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 3285189320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309969500).

3285189320 is an abundant number, since it is smaller than the sum of its proper divisors (5334749680).

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

3285189320 is a wasteful number, since it uses less digits than its factorization.

3285189320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 3285189320 is about 57316.5710767837. The cubic root of 3285189320 is about 1486.5749173092.

The spelling of 3285189320 in words is "three billion, two hundred eighty-five million, one hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 449 490 898 980 1796 1960 2245 3143 3592 3733 4490 6286 7466 8980 12572 14932 15715 17960 18665 22001 25144 26131 29864 31430 37330 44002 52262 62860 74660 88004 104524 110005 125720 130655 149320 176008 182917 209048 220010 261310 365834 440020 522620 731668 880040 914585 1045240 1463336 1676117 1829170 3352234 3658340 6704468 7316680 8380585 11732819 13408936 16761170 23465638 33522340 46931276 58664095 67044680 82129733 93862552 117328190 164259466 234656380 328518932 410648665 469312760 657037864 821297330 1642594660 3285189320