Search a number
-
+
71243328 = 26313172373
BaseRepresentation
bin1000011111100…
…01011001000000
311222001112110210
410033301121000
5121214241303
611022554120
71523362332
oct417613100
9158045423
1071243328
1137240192
121ba38940
13119b5720
149667452
1563c4203
hex43f1640

71243328 has 224 divisors, whose sum is σ = 227356416. Its totient is φ = 19464192.

The previous prime is 71243327. The next prime is 71243329. The reversal of 71243328 is 82334217.

It is an interprime number because it is at equal distance from previous prime (71243327) and next prime (71243329).

It is a super-2 number, since 2×712433282 = 10151223569031168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71243295 and 71243304.

It is not an unprimeable number, because it can be changed into a prime (71243321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975900 + ... + 975972.

It is an arithmetic number, because the mean of its divisors is an integer number (1014984).

Almost surely, 271243328 is an apocalyptic number.

71243328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113678208).

71243328 is an abundant number, since it is smaller than the sum of its proper divisors (156113088).

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

71243328 is a wasteful number, since it uses less digits than its factorization.

71243328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 71243328 is about 8440.5762836432. The cubic root of 71243328 is about 414.5542763729.

The spelling of 71243328 in words is "seventy-one million, two hundred forty-three thousand, three hundred twenty-eight".