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706998240 = 253351312589
BaseRepresentation
bin101010001000111…
…110111111100000
31211021100020021000
4222020332333200
52421442420430
6154053232000
723343246234
oct5210767740
91737306230
10706998240
1133309a273
12178932600
13b361c870
1469c7a5c4
1542105e60
hex2a23efe0

706998240 has 192 divisors, whose sum is σ = 2665051200. Its totient is φ = 174016512.

The previous prime is 706998197. The next prime is 706998247. The reversal of 706998240 is 42899607.

It is a happy number.

It is a super-2 number, since 2×7069982402 = 999693022726195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706998247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49866 + ... + 62454.

It is an arithmetic number, because the mean of its divisors is an integer number (13880475).

Almost surely, 2706998240 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 706998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332525600).

706998240 is an abundant number, since it is smaller than the sum of its proper divisors (1958052960).

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

706998240 is a wasteful number, since it uses less digits than its factorization.

706998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12626 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 706998240 is about 26589.4385047898. The cubic root of 706998240 is about 890.8531313658.

The spelling of 706998240 in words is "seven hundred six million, nine hundred ninety-eight thousand, two hundred forty".