Search a number
-
+
3349166688 = 253271661293
BaseRepresentation
bin1100011110100000…
…0011101001100000
322122102001021222200
43013220003221200
523324341313223
61312200133200
7145665306240
oct30750035140
98572037880
103349166688
11146957655a
12795767200
13414b3834a
1423ab37b20
15149065a43
hexc7a03a60

3349166688 has 72 divisors (see below), whose sum is σ = 10884798288. Its totient is φ = 956904192.

The previous prime is 3349166647. The next prime is 3349166701. The reversal of 3349166688 is 8866619433.

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

It is a super-2 number, since 2×33491666882 = 22433835008017778688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 828631 + ... + 832662.

It is an arithmetic number, because the mean of its divisors is an integer number (151177754).

Almost surely, 23349166688 is an apocalyptic number.

It is an amenable number.

3349166688 is an abundant number, since it is smaller than the sum of its proper divisors (7535631600).

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

3349166688 is a wasteful number, since it uses less digits than its factorization.

3349166688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661316 (or 1661305 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3349166688 is about 57871.9853469708. The cubic root of 3349166688 is about 1496.1630361745.

The spelling of 3349166688 in words is "three billion, three hundred forty-nine million, one hundred sixty-six thousand, six hundred 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 1661293 3322586 4983879 6645172 9967758 11629051 13290344 14951637 19935516 23258102 26580688 29903274 34887153 39871032 46516204 53161376 59806548 69774306 79742064 93032408 104661459 119613096 139548612 159484128 186064816 209322918 239226192 279097224 372129632 418645836 478452384 558194448 837291672 1116388896 1674583344 3349166688