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706444431 = 37113058201
BaseRepresentation
bin101010000110110…
…111110010001111
31211020022002120120
4222012313302033
52421322210211
6154033320023
723335451520
oct5206676217
91736262516
10706444431
11332851180
12178706013
13b3487774
1469b74847
1542046d06
hex2a1b7c8f

706444431 has 16 divisors (see below), whose sum is σ = 1174349568. Its totient is φ = 366984000.

The previous prime is 706444423. The next prime is 706444439. The reversal of 706444431 is 134444607.

It is an interprime number because it is at equal distance from previous prime (706444423) and next prime (706444439).

It is not a de Polignac number, because 706444431 - 23 = 706444423 is a prime.

It is a super-2 number, since 2×7064444312 = 998127468181827522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 706444392 and 706444401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706444439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528870 + ... + 1529331.

It is an arithmetic number, because the mean of its divisors is an integer number (73396848).

Almost surely, 2706444431 is an apocalyptic number.

706444431 is a deficient number, since it is larger than the sum of its proper divisors (467905137).

706444431 is a wasteful number, since it uses less digits than its factorization.

706444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058222.

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 706444431 is about 26579.0223860849. The cubic root of 706444431 is about 890.6204615934.

The spelling of 706444431 in words is "seven hundred six million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 3058201 9174603 21407407 33640211 64222221 100920633 235481477 706444431