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3068353760 = 255374191237
BaseRepresentation
bin1011011011100011…
…0101110011100000
321220211122112001212
42312320311303200
522240444310020
61224245245252
7136015401533
oct26670656340
97824575055
103068353760
11133500765a
12717703828
1339b8c7954
1421171aa1a
1512e596cc5
hexb6e35ce0

3068353760 has 96 divisors (see below), whose sum is σ = 7468705440. Its totient is φ = 1190356992.

The previous prime is 3068353747. The next prime is 3068353789. The reversal of 3068353760 is 673538603.

It is a super-2 number, since 2×30683537602 = 18829589593012275200, which contains 22 as substring.

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, 2479862 + ... + 2481098.

It is an arithmetic number, because the mean of its divisors is an integer number (77799015).

Almost surely, 23068353760 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 3068353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734352720).

3068353760 is an abundant number, since it is smaller than the sum of its proper divisors (4400351680).

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

3068353760 is a wasteful number, since it uses less digits than its factorization.

3068353760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The square root of 3068353760 is about 55392.7229877716. The cubic root of 3068353760 is about 1453.1211026588.

The spelling of 3068353760 in words is "three billion, sixty-eight million, three hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 419 592 740 838 1184 1237 1480 1676 2095 2474 2960 3352 4190 4948 5920 6185 6704 8380 9896 12370 13408 15503 16760 19792 24740 31006 33520 39584 45769 49480 62012 67040 77515 91538 98960 124024 155030 183076 197920 228845 248048 310060 366152 457690 496096 518303 620120 732304 915380 1036606 1240240 1464608 1830760 2073212 2480480 2591515 3661520 4146424 5183030 7323040 8292848 10366060 16585696 19177211 20732120 38354422 41464240 76708844 82928480 95886055 153417688 191772110 306835376 383544220 613670752 767088440 1534176880 3068353760