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3011378304 = 27311264811
BaseRepresentation
bin1011001101111101…
…1111110010000000
321202212102212102210
42303133133302000
522131403101204
61214452142120
7134424202404
oct26337376200
97685385383
103011378304
111305932100
12700607940
1338cb6956c
14207d29104
15129590389
hexb37dfc80

3011378304 has 96 divisors (see below), whose sum is σ = 8792395920. Its totient is φ = 912524800.

The previous prime is 3011378239. The next prime is 3011378323. The reversal of 3011378304 is 4038731103.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14059 + ... + 78869.

Almost surely, 23011378304 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 3011378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396197960).

3011378304 is an abundant number, since it is smaller than the sum of its proper divisors (5781017616).

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

3011378304 is a wasteful number, since it uses less digits than its factorization.

3011378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64850 (or 64827 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3011378304 is about 54876.0266783228. The cubic root of 3011378304 is about 1444.0706426154.

The spelling of 3011378304 in words is "three billion, eleven million, three hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 64811 129622 194433 259244 388866 518488 712921 777732 1036976 1425842 1555464 2073952 2138763 2851684 3110928 4147904 4277526 5703368 6221856 7842131 8295808 8555052 11406736 12443712 15684262 17110104 22813472 23526393 24887424 31368524 34220208 45626944 47052786 62737048 68440416 91253888 94105572 125474096 136880832 188211144 250948192 273761664 376422288 501896384 752844576 1003792768 1505689152 3011378304