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3044134314 = 2321337334877
BaseRepresentation
bin1011010101110001…
…1100110110101010
321212011002001020100
42311130130312222
522213244244224
61222022210230
7135302500104
oct26534346652
97764061210
103044134314
111322375191
1270b583976
13396897b10
1420c414574
1512c3b0ac9
hexb571cdaa

3044134314 has 48 divisors (see below), whose sum is σ = 7122227112. Its totient is φ = 934118784.

The previous prime is 3044134307. The next prime is 3044134351. The reversal of 3044134314 is 4134314403.

3044134314 is a `hidden beast` number, since 304 + 4 + 1 + 343 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2532605625 + 511528689 = 50325^2 + 22617^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69844 + ... + 104720.

Almost surely, 23044134314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3044134314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561113556).

3044134314 is an abundant number, since it is smaller than the sum of its proper divisors (4078092798).

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

3044134314 is a wasteful number, since it uses less digits than its factorization.

3044134314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35271 (or 35268 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3044134314 is about 55173.6741027820. The cubic root of 3044134314 is about 1449.2876904062.

Adding to 3044134314 its reverse (4134314403), we get a palindrome (7178448717).

The spelling of 3044134314 in words is "three billion, forty-four million, one hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 373 746 1119 2238 3357 4849 6714 9698 14547 29094 34877 43641 69754 87282 104631 209262 313893 453401 627786 906802 1360203 2720406 4080609 8161218 13009121 26018242 39027363 78054726 117082089 169118573 234164178 338237146 507355719 1014711438 1522067157 3044134314