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706663440 = 243757577
BaseRepresentation
bin101010000111101…
…101010000010000
31211020201020000000
4222013231100100
52421401212230
6154042130000
723340353160
oct5207552020
91736636000
10706663440
1133299077a
121787b0900
13b3533362
1469bd05a0
154208bb60
hex2a1ed410

706663440 has 320 divisors, whose sum is σ = 2821009920. Its totient is φ = 161243136.

The previous prime is 706663439. The next prime is 706663457. The reversal of 706663440 is 44366607.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 706663395 and 706663404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224432 + ... + 1225008.

It is an arithmetic number, because the mean of its divisors is an integer number (8815656).

Almost surely, 2706663440 is an apocalyptic number.

706663440 is a gapful number since it is divisible by the number (70) 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 706663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410504960).

706663440 is an abundant number, since it is smaller than the sum of its proper divisors (2114346480).

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

706663440 is an equidigital number, since it uses as much as digits as its factorization.

706663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 706663440 is about 26583.1420264799. The cubic root of 706663440 is about 890.7124875830.

The spelling of 706663440 in words is "seven hundred six million, six hundred sixty-three thousand, four hundred forty".