Search a number
-
+
3386261088 = 253271679693
BaseRepresentation
bin1100100111010110…
…0011111001100000
322201222211212221100
43021311203321200
523413340323323
61320003154400
7146625513210
oct31165437140
98658755840
103386261088
111488502091
127a6075a00
1341c7254b2
14241a32240
1514c441943
hexc9d63e60

3386261088 has 72 divisors (see below), whose sum is σ = 11005355088. Its totient is φ = 967502592.

The previous prime is 3386261057. The next prime is 3386261101. The reversal of 3386261088 is 8801626833.

3386261088 is a `hidden beast` number, since 3 + 3 + 8 + 626 + 10 + 8 + 8 = 666.

3386261088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33862610882 = 22933528312205887488, which contains 22 as substring.

It is a congruent number.

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, 837831 + ... + 841862.

It is an arithmetic number, because the mean of its divisors is an integer number (152852154).

Almost surely, 23386261088 is an apocalyptic number.

It is an amenable number.

3386261088 is an abundant number, since it is smaller than the sum of its proper divisors (7619094000).

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

3386261088 is a wasteful number, since it uses less digits than its factorization.

3386261088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679716 (or 1679705 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3386261088 is about 58191.5894953901. The cubic root of 3386261088 is about 1501.6664572612. Note that the first 3 decimals are identical.

The spelling of 3386261088 in words is "three billion, three hundred eighty-six million, two hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1679693 3359386 5039079 6718772 10078158 11757851 13437544 15117237 20156316 23515702 26875088 30234474 35273553 40312632 47031404 53750176 60468948 70547106 80625264 94062808 105820659 120937896 141094212 161250528 188125616 211641318 241875792 282188424 376251232 423282636 483751584 564376848 846565272 1128753696 1693130544 3386261088