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3320768248 = 23773839787
BaseRepresentation
bin1100010111101110…
…1110011011111000
322120102121111122121
43011323232123320
523300104040443
61305303331024
7145202031040
oct30573563370
98512544577
103320768248
11145453a376
12788150a74
1340bca4335
14237064720
151468064ed
hexc5eee6f8

3320768248 has 64 divisors (see below), whose sum is σ = 7301064960. Its totient is φ = 1386637056.

The previous prime is 3320768233. The next prime is 3320768249. The reversal of 3320768248 is 8428670233.

It is a super-3 number, since 3×33207682483 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320768249) 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, 334411 + ... + 344197.

It is an arithmetic number, because the mean of its divisors is an integer number (114079140).

Almost surely, 23320768248 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 3320768248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650532480).

3320768248 is an abundant number, since it is smaller than the sum of its proper divisors (3980296712).

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

3320768248 is a wasteful number, since it uses less digits than its factorization.

3320768248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9956 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 3320768248 is about 57626.1073472779. The cubic root of 3320768248 is about 1491.9222443648.

The spelling of 3320768248 in words is "three billion, three hundred twenty million, seven hundred sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 73 83 146 166 292 332 511 581 584 664 1022 1162 2044 2324 4088 4648 6059 9787 12118 19574 24236 39148 42413 48472 68509 78296 84826 137018 169652 274036 339304 548072 714451 812321 1428902 1624642 2857804 3249284 5001157 5686247 5715608 6498568 10002314 11372494 20004628 22744988 40009256 45489976 59299433 118598866 237197732 415096031 474395464 830192062 1660384124 3320768248