Search a number
-
+
3349068672 = 2738721533
BaseRepresentation
bin1100011110011110…
…1011101110000000
322122101212022112110
43013213223232000
523324330144142
61312154055320
7145664420415
oct30747535600
98571768473
103349068672
111469509954
1279571a540
13414b02851
1423ab1010c
1514904699c
hexc79ebb80

3349068672 has 32 divisors (see below), whose sum is σ = 8895964680. Its totient is φ = 1116356096.

The previous prime is 3349068661. The next prime is 3349068673. The reversal of 3349068672 is 2768609433.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33490686722 = 22432521939543687168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349068673) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4360383 + ... + 4361150.

Almost surely, 23349068672 is an apocalyptic number.

3349068672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3349068672 is an abundant number, since it is smaller than the sum of its proper divisors (5546896008).

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

3349068672 is an equidigital number, since it uses as much as digits as its factorization.

3349068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721550 (or 8721538 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 3349068672 is about 57871.1385061673. The cubic root of 3349068672 is about 1496.1484405690.

The spelling of 3349068672 in words is "three billion, three hundred forty-nine million, sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 8721533 17443066 26164599 34886132 52329198 69772264 104658396 139544528 209316792 279089056 418633584 558178112 837267168 1116356224 1674534336 3349068672