Search a number
-
+
71264340 = 223357171109
BaseRepresentation
bin1000011111101…
…10100001010100
311222002121022000
410033312201110
5121220424330
611023235300
71523510520
oct417664124
9158077260
1071264340
1137254a54
121ba48b30
13119c2164
149670d80
1563ca560
hex43f6854

71264340 has 192 divisors, whose sum is σ = 268531200. Its totient is φ = 15316992.

The previous prime is 71264317. The next prime is 71264359. The reversal of 71264340 is 4346217.

71264340 is a `hidden beast` number, since 7 + 12 + 643 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63706 + ... + 64814.

It is an arithmetic number, because the mean of its divisors is an integer number (1398600).

Almost surely, 271264340 is an apocalyptic number.

71264340 is a gapful number since it is divisible by the number (70) 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 71264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

71264340 is an abundant number, since it is smaller than the sum of its proper divisors (197266860).

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

71264340 is a wasteful number, since it uses less digits than its factorization.

71264340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 71264340 is about 8441.8208936224. The cubic root of 71264340 is about 414.5950275959.

The spelling of 71264340 in words is "seventy-one million, two hundred sixty-four thousand, three hundred forty".