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3408149281 = 29142982241
BaseRepresentation
bin1100101100100100…
…0011101100100001
322210112000220220011
43023021003230201
523434441234111
61322104244521
7150312535165
oct31311035441
98715026804
103408149281
1114998a1aa9
127b1470741
1342411a1a4
142448ccca5
1514e317021
hexcb243b21

3408149281 has 8 divisors (see below), whose sum is σ = 3528181800. Its totient is φ = 3288284160.

The previous prime is 3408149279. The next prime is 3408149287. The reversal of 3408149281 is 1829418043.

It can be written as a sum of positive squares in 4 ways, for example, as 34398225 + 3373751056 = 5865^2 + 58084^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3408149281 - 21 = 3408149279 is a prime.

It is a super-3 number, since 3×34081492813 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3408149287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 82561.

It is an arithmetic number, because the mean of its divisors is an integer number (441022725).

Almost surely, 23408149281 is an apocalyptic number.

It is an amenable number.

3408149281 is a deficient number, since it is larger than the sum of its proper divisors (120032519).

3408149281 is a wasteful number, since it uses less digits than its factorization.

3408149281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83699.

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 3408149281 is about 58379.3566340021. The cubic root of 3408149281 is about 1504.8950131140.

The spelling of 3408149281 in words is "three billion, four hundred eight million, one hundred forty-nine thousand, two hundred eighty-one".

Divisors: 1 29 1429 41441 82241 2384989 117522389 3408149281