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3348064740 = 2235475920123
BaseRepresentation
bin1100011110001111…
…0110100111100100
322122022222022101210
43013203312213210
523324101032430
61312120351420
7145653036456
oct30743664744
98568868353
103348064740
111468993659
12795315570
134148408c7
1423a92c2d6
15148de92b0
hexc78f69e4

3348064740 has 96 divisors (see below), whose sum is σ = 9736796160. Its totient is φ = 858967936.

The previous prime is 3348064661. The next prime is 3348064747. The reversal of 3348064740 is 474608433.

It is a super-2 number, since 2×33480647402 = 22419075006462535200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3348064747) 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, 156319 + ... + 176441.

It is an arithmetic number, because the mean of its divisors is an integer number (101424960).

Almost surely, 23348064740 is an apocalyptic number.

3348064740 is a gapful number since it is divisible by the number (30) 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 3348064740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868398080).

3348064740 is an abundant number, since it is smaller than the sum of its proper divisors (6388731420).

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

3348064740 is a wasteful number, since it uses less digits than its factorization.

3348064740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20241 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 3348064740 is about 57862.4639986926. The cubic root of 3348064740 is about 1495.9989282166.

The spelling of 3348064740 in words is "three billion, three hundred forty-eight million, sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 59 60 94 118 141 177 188 235 236 282 295 354 470 564 590 705 708 885 940 1180 1410 1770 2773 2820 3540 5546 8319 11092 13865 16638 20123 27730 33276 40246 41595 55460 60369 80492 83190 100615 120738 166380 201230 241476 301845 402460 603690 945781 1187257 1207380 1891562 2374514 2837343 3561771 3783124 4728905 4749028 5674686 5936285 7123542 9457810 11349372 11872570 14186715 14247084 17808855 18915620 23745140 28373430 35617710 55801079 56746860 71235420 111602158 167403237 223204316 279005395 334806474 558010790 669612948 837016185 1116021580 1674032370 3348064740