Search a number
-
+
3378748129 = 37215712
BaseRepresentation
bin1100100101100011…
…1001101011100001
322201110201012002121
43021120321223201
523404424420004
61315134144241
7146504612431
oct31130715341
98643635077
103378748129
111484240529
127a3652081
1341acc4963
14240a382c1
1514b95a854
hexc9639ae1

3378748129 has 9 divisors (see below), whose sum is σ = 3474745491. Its totient is φ = 3285338040.

The previous prime is 3378748127. The next prime is 3378748141. The reversal of 3378748129 is 9218478733.

The square root of 3378748129 is 58127.

It is a perfect power (a square), and thus also a powerful number.

3378748129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3023350225 + 355397904 = 54985^2 + 18852^2 .

It is not a de Polignac number, because 3378748129 - 21 = 3378748127 is a prime.

It is a super-2 number, since 2×33787481292 = 22831877838442001282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3378748123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2149914 + ... + 2151484.

Almost surely, 23378748129 is an apocalyptic number.

3378748129 is the 58127-th square number.

3378748129 is the 29064-th centered octagonal number.

It is an amenable number.

3378748129 is a deficient number, since it is larger than the sum of its proper divisors (95997362).

3378748129 is an frugal number, since it uses more digits than its factorization.

3378748129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 1608 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The cubic root of 3378748129 is about 1500.5550729411. Note that the first 3 decimals are identical.

The spelling of 3378748129 in words is "three billion, three hundred seventy-eight million, seven hundred forty-eight thousand, one hundred twenty-nine".

Divisors: 1 37 1369 1571 58127 2150699 2468041 91317517 3378748129