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3288956216 = 2371313134487
BaseRepresentation
bin1100010000001001…
…0111110100111000
322111012202021202012
43010002113310320
523213433044331
61302205425052
7144334444430
oct30402276470
98435667665
103288956216
111438591537
1277956b188
13405516650
14232b432c0
15143b2082b
hexc4097d38

3288956216 has 64 divisors (see below), whose sum is σ = 7648058880. Its totient is φ = 1291155840.

The previous prime is 3288956213. The next prime is 3288956227. The reversal of 3288956216 is 6126598823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288956213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78125 + ... + 112611.

It is an arithmetic number, because the mean of its divisors is an integer number (119500920).

Almost surely, 23288956216 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 3288956216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824029440).

3288956216 is an abundant number, since it is smaller than the sum of its proper divisors (4359102664).

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

3288956216 is a wasteful number, since it uses less digits than its factorization.

3288956216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34644 (or 34640 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 50.

The square root of 3288956216 is about 57349.4221069402. The cubic root of 3288956216 is about 1487.1428839861.

The spelling of 3288956216 in words is "three billion, two hundred eighty-eight million, nine hundred fifty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 131 182 262 364 524 728 917 1048 1703 1834 3406 3668 6812 7336 11921 13624 23842 34487 47684 68974 95368 137948 241409 275896 448331 482818 896662 965636 1793324 1931272 3138317 3586648 4517797 6276634 9035594 12553268 18071188 25106536 31624579 36142376 58731361 63249158 117462722 126498316 234925444 252996632 411119527 469850888 822239054 1644478108 3288956216