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970318440 = 233557131097
BaseRepresentation
bin111001110101011…
…110001001101000
32111121211021200000
4321311132021220
53441400142230
6240141143000
733021366510
oct7165361150
92447737600
10970318440
114587a0673
12230b5aa60
13126047130
1492c22840
155a2bbb60
hex39d5e268

970318440 has 384 divisors, whose sum is σ = 4028693760. Its totient is φ = 204539904.

The previous prime is 970318439. The next prime is 970318477. The reversal of 970318440 is 44813079.

It is a happy number.

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 = 970318395 and 970318404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 883972 + ... + 885068.

It is an arithmetic number, because the mean of its divisors is an integer number (10491390).

Almost surely, 2970318440 is an apocalyptic number.

970318440 is a gapful number since it is divisible by the number (90) 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 970318440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014346880).

970318440 is an abundant number, since it is smaller than the sum of its proper divisors (3058375320).

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

970318440 is a wasteful number, since it uses less digits than its factorization.

970318440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 970318440 is about 31149.9348313925. The cubic root of 970318440 is about 990.0066115261.

The spelling of 970318440 in words is "nine hundred seventy million, three hundred eighteen thousand, four hundred forty".