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3321411040 = 255174725981
BaseRepresentation
bin1100010111111000…
…1011010111100000
322120110211011101201
43011332023113200
523300240123130
61305325210544
7145210346053
oct30576132740
98513734351
103321411040
111454939302
12788400a54
1340c16aa9c
14237190a9a
151468d1bca
hexc5f8b5e0

3321411040 has 96 divisors (see below), whose sum is σ = 8485513344. Its totient is φ = 1223761920.

The previous prime is 3321411029. The next prime is 3321411059. The reversal of 3321411040 is 401141233.

It is a super-2 number, since 2×33214110402 = 22063542593267763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321410999 and 3321411017.

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 15 ways as a sum of consecutive naturals, for example, 114850 + ... + 140830.

It is an arithmetic number, because the mean of its divisors is an integer number (88390764).

Almost surely, 23321411040 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 3321411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242756672).

3321411040 is an abundant number, since it is smaller than the sum of its proper divisors (5164102304).

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

3321411040 is a wasteful number, since it uses less digits than its factorization.

3321411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26060 (or 26052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3321411040 is about 57631.6843411677. The cubic root of 3321411040 is about 1492.0185005864.

Adding to 3321411040 its reverse (401141233), we get a palindrome (3722552273).

The spelling of 3321411040 in words is "three billion, three hundred twenty-one million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 68 80 85 94 136 160 170 188 235 272 340 376 470 544 680 752 799 940 1360 1504 1598 1880 2720 3196 3760 3995 6392 7520 7990 12784 15980 25568 25981 31960 51962 63920 103924 127840 129905 207848 259810 415696 441677 519620 831392 883354 1039240 1221107 1766708 2078480 2208385 2442214 3533416 4156960 4416770 4884428 6105535 7066832 8833540 9768856 12211070 14133664 17667080 19537712 20758819 24422140 35334160 39075424 41517638 48844280 70668320 83035276 97688560 103794095 166070552 195377120 207588190 332141104 415176380 664282208 830352760 1660705520 3321411040