Search a number
-
+
3680758368 = 25337608591
BaseRepresentation
bin1101101101100011…
…1110101001100000
3100111111222220021000
43123120332221200
530014233231433
61405123232000
7160132633650
oct33330765140
910444886230
103680758368
111619768271
12868818600
13468747741
1426cbb2360
15168215113
hexdb63ea60

3680758368 has 96 divisors (see below), whose sum is σ = 12269214720. Its totient is φ = 1051643520.

The previous prime is 3680758339. The next prime is 3680758381. The reversal of 3680758368 is 8638570863.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 298248 + ... + 310343.

It is an arithmetic number, because the mean of its divisors is an integer number (127804320).

Almost surely, 23680758368 is an apocalyptic number.

It is an amenable number.

3680758368 is an abundant number, since it is smaller than the sum of its proper divisors (8588456352).

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

3680758368 is a wasteful number, since it uses less digits than its factorization.

3680758368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608617 (or 608603 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3680758368 is about 60669.2538935497. The cubic root of 3680758368 is about 1543.9945725422.

The spelling of 3680758368 in words is "three billion, six hundred eighty million, seven hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 608591 1217182 1825773 2434364 3651546 4260137 4868728 5477319 7303092 8520274 9737456 10954638 12780411 14606184 16431957 17040548 19474912 21909276 25560822 29212368 32863914 34081096 38341233 43818552 51121644 58424736 65727828 68162192 76682466 87637104 102243288 115023699 131455656 136324384 153364932 175274208 204486576 230047398 262911312 306729864 408973152 460094796 525822624 613459728 920189592 1226919456 1840379184 3680758368