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970894368 = 25325476163
BaseRepresentation
bin111001110111101…
…010110000100000
32111122220112200200
4321313222300200
53442022104433
6240201345200
733026315553
oct7167526040
92448815620
10970894368
11459054344
12231198200
131261b9312
1492d3269a
155a382613
hex39deac20

970894368 has 72 divisors (see below), whose sum is σ = 2766477168. Its totient is φ = 322987392.

The previous prime is 970894349. The next prime is 970894381. The reversal of 970894368 is 863498079.

970894368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154455 + ... + 160617.

It is an arithmetic number, because the mean of its divisors is an integer number (38423294).

Almost surely, 2970894368 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 970894368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383238584).

970894368 is an abundant number, since it is smaller than the sum of its proper divisors (1795582800).

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

970894368 is a wasteful number, since it uses less digits than its factorization.

970894368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 970894368 is about 31159.1779095662. The cubic root of 970894368 is about 990.2024440603.

The spelling of 970894368 in words is "nine hundred seventy million, eight hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 547 1094 1641 2188 3282 4376 4923 6163 6564 8752 9846 12326 13128 17504 18489 19692 24652 26256 36978 39384 49304 52512 55467 73956 78768 98608 110934 147912 157536 197216 221868 295824 443736 591648 887472 1774944 3371161 6742322 10113483 13484644 20226966 26969288 30340449 40453932 53938576 60680898 80907864 107877152 121361796 161815728 242723592 323631456 485447184 970894368