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706240944 = 243419232943
BaseRepresentation
bin101010000110000…
…110000110110000
31211012220202110000
4222012012012300
52421244202234
6154025110000
723333643333
oct5206060660
91735822400
10706240944
11332722302
12178628300
13b3415c66
1469b2061a
1542006899
hex2a1861b0

706240944 has 400 divisors, whose sum is σ = 2376633600. Its totient is φ = 201180672.

The previous prime is 706240943. The next prime is 706241017. The reversal of 706240944 is 449042607.

It is a super-2 number, since 2×7062409442 = 997552541964022272, which contains 22 as substring.

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 = 706240899 and 706240908.

It is not an unprimeable number, because it can be changed into a prime (706240943) 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 79 ways as a sum of consecutive naturals, for example, 16424187 + ... + 16424229.

It is an arithmetic number, because the mean of its divisors is an integer number (5941584).

Almost surely, 2706240944 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 706240944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188316800).

706240944 is an abundant number, since it is smaller than the sum of its proper divisors (1670392656).

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

706240944 is a wasteful number, since it uses less digits than its factorization.

706240944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 706240944 is about 26575.1941479267. The cubic root of 706240944 is about 890.5349407883.

The spelling of 706240944 in words is "seven hundred six million, two hundred forty thousand, nine hundred forty-four".