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706434040 = 235131937039
BaseRepresentation
bin101010000110110…
…101001111111000
31211020021120022201
4222012311033320
52421321342130
6154033155544
723335406314
oct5206651770
91736246281
10706434040
11332844394
121786bbbb4
13b3482b10
1469b70b44
1542043bca
hex2a1b53f8

706434040 has 64 divisors (see below), whose sum is σ = 1720857600. Its totient is φ = 259448832.

The previous prime is 706434011. The next prime is 706434083. The reversal of 706434040 is 40434607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96841 + ... + 103879.

It is an arithmetic number, because the mean of its divisors is an integer number (26888400).

Almost surely, 2706434040 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 706434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860428800).

706434040 is an abundant number, since it is smaller than the sum of its proper divisors (1014423560).

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

706434040 is a wasteful number, since it uses less digits than its factorization.

706434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 706434040 is about 26578.8269116603. The cubic root of 706434040 is about 890.6160948981.

Adding to 706434040 its reverse (40434607), we get a palindrome (746868647).

The spelling of 706434040 in words is "seven hundred six million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 193 260 386 520 772 965 1544 1930 2509 3860 5018 7039 7720 10036 12545 14078 20072 25090 28156 35195 50180 56312 70390 91507 100360 140780 183014 281560 366028 457535 732056 915070 1358527 1830140 2717054 3660280 5434108 6792635 10868216 13585270 17660851 27170540 35321702 54341080 70643404 88304255 141286808 176608510 353217020 706434040