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706397328 = 2433721317151
BaseRepresentation
bin101010000110101…
…100010010010000
31211020012200222000
4222012230102100
52421314203303
6154032314000
723335164300
oct5206542220
91736180860
10706397328
1133281984a
121786a2900
13b346c1b0
1469b61600
1542037da3
hex2a1ac490

706397328 has 480 divisors, whose sum is σ = 2707326720. Its totient is φ = 174182400.

The previous prime is 706397317. The next prime is 706397339. The reversal of 706397328 is 823793607.

It is a happy number.

706397328 is a `hidden beast` number, since 7 + 0 + 639 + 7 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (706397317) and next prime (706397339).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4678053 + ... + 4678203.

It is an arithmetic number, because the mean of its divisors is an integer number (5640264).

Almost surely, 2706397328 is an apocalyptic number.

706397328 is a gapful number since it is divisible by the number (78) 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 706397328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353663360).

706397328 is an abundant number, since it is smaller than the sum of its proper divisors (2000929392).

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

706397328 is a wasteful number, since it uses less digits than its factorization.

706397328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 706397328 is about 26578.1362777754. The cubic root of 706397328 is about 890.6006667701.

The spelling of 706397328 in words is "seven hundred six million, three hundred ninety-seven thousand, three hundred twenty-eight".