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61348331 = 1123771193
BaseRepresentation
bin1110101000000…
…1100111101011
311021102211002102
43222001213223
5111201121311
610030524015
71343311052
oct352014753
9137384072
1061348331
11316a1a00
121866660b
13c92c8b5
14820d399
1555bc43b
hex3a819eb

61348331 has 24 divisors (see below), whose sum is σ = 70594272. Its totient is φ = 53222400.

The previous prime is 61348307. The next prime is 61348379. The reversal of 61348331 is 13384316.

It is a de Polignac number, because none of the positive numbers 2k-61348331 is a prime.

It is a super-2 number, since 2×613483312 = 7527235432971122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61348294 and 61348303.

It is not an unprimeable number, because it can be changed into a prime (61348381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317771 + ... + 317963.

It is an arithmetic number, because the mean of its divisors is an integer number (2941428).

Almost surely, 261348331 is an apocalyptic number.

61348331 is a deficient number, since it is larger than the sum of its proper divisors (9245941).

61348331 is a wasteful number, since it uses less digits than its factorization.

61348331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 61348331 is about 7832.5175390803. The cubic root of 61348331 is about 394.3975883831.

The spelling of 61348331 in words is "sixty-one million, three hundred forty-eight thousand, three hundred thirty-one".

Divisors: 1 11 37 71 121 193 407 781 2123 2627 4477 7141 8591 13703 23353 28897 78551 150733 317867 507011 864061 1658063 5577121 61348331