Search a number
-
+
71395344 = 24366121
BaseRepresentation
bin1000100000101…
…10100000010000
311222100021000000
410100112200100
5121234122334
611030130000
71524564456
oct420264020
9158307000
1071395344
1137334419
121bab0900
1311a39987
1496a69d6
156404299
hex4416810

71395344 has 70 divisors (see below), whose sum is σ = 207431726. Its totient is φ = 23794560.

The previous prime is 71395343. The next prime is 71395349. The reversal of 71395344 is 44359317.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 23619600 = 6912^2 + 4860^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71395299 and 71395308.

It is not an unprimeable number, because it can be changed into a prime (71395343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8604 + ... + 14724.

Almost surely, 271395344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71395344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103715863).

71395344 is an abundant number, since it is smaller than the sum of its proper divisors (136036382).

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

71395344 is an equidigital number, since it uses as much as digits as its factorization.

71395344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6126 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 71395344 is about 8449.5765574377. The cubic root of 71395344 is about 414.8489197000.

The spelling of 71395344 in words is "seventy-one million, three hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 6121 11664 12242 18363 24484 36726 48968 55089 73452 97936 110178 146904 165267 220356 293808 330534 440712 495801 661068 881424 991602 1322136 1487403 1983204 2644272 2974806 3966408 4462209 5949612 7932816 8924418 11899224 17848836 23798448 35697672 71395344