Search a number
-
+
711281340 = 22325711193773
BaseRepresentation
bin101010011001010…
…100101010111100
31211120101211120100
4222121110222330
52424042000330
6154325121100
723424535350
oct5231245274
91746354510
10711281340
11335555220
1217a259190
13b448c243
146a673460
15426a0060
hex2a654abc

711281340 has 576 divisors, whose sum is σ = 2947875840. Its totient is φ = 134369280.

The previous prime is 711281327. The next prime is 711281357. The reversal of 711281340 is 43182117.

711281340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7112813402 = 1011842289264391200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9743544 + ... + 9743616.

It is an arithmetic number, because the mean of its divisors is an integer number (5117840).

Almost surely, 2711281340 is an apocalyptic number.

711281340 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 711281340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473937920).

711281340 is an abundant number, since it is smaller than the sum of its proper divisors (2236594500).

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

711281340 is a wasteful number, since it uses less digits than its factorization.

711281340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 711281340 is about 26669.8582673399. The cubic root of 711281340 is about 892.6484841108.

The spelling of 711281340 in words is "seven hundred eleven million, two hundred eighty-one thousand, three hundred forty".