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3348487144 = 2317137179717
BaseRepresentation
bin1100011110010101…
…1101101111101000
322122100202202211101
43013211131233220
523324203042034
61312133411144
7145656446122
oct30745355750
98570682741
103348487144
111469151a52
12795499ab4
1341495ac52
1423a9dc212
15148e7e514
hexc795dbe8

3348487144 has 32 divisors (see below), whose sum is σ = 6696292680. Its totient is φ = 1564248064.

The previous prime is 3348487123. The next prime is 3348487157. The reversal of 3348487144 is 4417848433.

It can be written as a sum of positive squares in 4 ways, for example, as 2573532900 + 774954244 = 50730^2 + 27838^2 .

It is a super-3 number, since 3×33484871443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3348487094 and 3348487103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71227 + ... + 108490.

Almost surely, 23348487144 is an apocalyptic number.

3348487144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3348487144 is a deficient number, since it is larger than the sum of its proper divisors (3347805536).

3348487144 is a wasteful number, since it uses less digits than its factorization.

3348487144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179877 (or 179873 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 3348487144 is about 57866.1139528135. The cubic root of 3348487144 is about 1496.0618391226.

The spelling of 3348487144 in words is "three billion, three hundred forty-eight million, four hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 136 137 274 548 1096 2329 4658 9316 18632 179717 359434 718868 1437736 3055189 6110378 12220756 24441512 24621229 49242458 98484916 196969832 418560893 837121786 1674243572 3348487144