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970343712 = 25351329331
BaseRepresentation
bin111001110101100…
…100010100100000
32111121212120100000
4321311210110200
53441401444322
6240141500000
733021533262
oct7165442440
92447776300
10970343712
11458808658
12230b71600
131260557a0
1492c2bb32
155a2c43ac
hex39d64520

970343712 has 288 divisors, whose sum is σ = 3197638080. Its totient is φ = 287400960.

The previous prime is 970343707. The next prime is 970343729. The reversal of 970343712 is 217343079.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2931387 + ... + 2931717.

It is an arithmetic number, because the mean of its divisors is an integer number (11102910).

Almost surely, 2970343712 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 970343712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598819040).

970343712 is an abundant number, since it is smaller than the sum of its proper divisors (2227294368).

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

970343712 is a wasteful number, since it uses less digits than its factorization.

970343712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 970343712 is about 31150.3404796802. The cubic root of 970343712 is about 990.0152063780.

The spelling of 970343712 in words is "nine hundred seventy million, three hundred forty-three thousand, seven hundred twelve".