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3312240764 = 2271723973119
BaseRepresentation
bin1100010101101100…
…1100100001111100
322112211120021010212
43011123030201330
523240413201024
61304400451552
7145036403420
oct30533144174
98484507125
103312240764
11144a745568
12785319bb8
1340a2a9aa1
14235c84b80
15145bbea0e
hexc56cc87c

3312240764 has 96 divisors (see below), whose sum is σ = 7396945920. Its totient is φ = 1264361472.

The previous prime is 3312240761. The next prime is 3312240791. The reversal of 3312240764 is 4670422133.

3312240764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3312240764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312240761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060397 + ... + 1063515.

It is an arithmetic number, because the mean of its divisors is an integer number (77051520).

Almost surely, 23312240764 is an apocalyptic number.

3312240764 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312240764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698472960).

3312240764 is an abundant number, since it is smaller than the sum of its proper divisors (4084705156).

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

3312240764 is a wasteful number, since it uses less digits than its factorization.

3312240764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3312240764 is about 57552.0700235882. The cubic root of 3312240764 is about 1490.6441015087.

Adding to 3312240764 its reverse (4670422133), we get a palindrome (7982662897).

The spelling of 3312240764 in words is "three billion, three hundred twelve million, two hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 97 119 161 194 238 322 388 391 476 644 679 782 1358 1564 1649 2231 2716 2737 3119 3298 4462 5474 6238 6596 8924 10948 11543 12476 15617 21833 23086 31234 37927 43666 46172 53023 62468 71737 75854 87332 106046 143474 151708 212092 265489 286948 302543 371161 502159 530978 605086 742322 1004318 1061956 1210172 1219529 1484644 2008636 2117801 2439058 4235602 4878116 5143231 6958489 8471204 8536703 10286462 13916978 17073406 20572924 27833956 34146812 36002617 48709423 72005234 97418846 118294313 144010468 194837692 236588626 473177252 828060191 1656120382 3312240764