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970326 = 233717151
BaseRepresentation
bin11101100111001010110
31211022001000
43230321112
5222022301
632444130
711150640
oct3547126
91738030
10970326
11603025
123a9646
1327c876
141b3890
15142786
hexece56

970326 has 64 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 259200.

The previous prime is 970313. The next prime is 970351. The reversal of 970326 is 623079.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 970326.

It is a congruent number.

It is an unprimeable number.

970326 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6351 + ... + 6501.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2970326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280).

970326 is an abundant number, since it is smaller than the sum of its proper divisors (1656234).

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

970326 is a wasteful number, since it uses less digits than its factorization.

970326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 970326 is about 985.0512677013. The cubic root of 970326 is about 99.0009182651. Note that the first 3 decimals are identical.

Subtracting from 970326 its sum of digits (27), we obtain a cube (970299 = 993).

It can be divided in two parts, 970 and 326, that added together give a 4-th power (1296 = 64).

The spelling of 970326 in words is "nine hundred seventy thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 151 153 189 238 302 306 357 378 453 459 714 906 918 1057 1071 1359 2114 2142 2567 2718 3171 3213 4077 5134 6342 6426 7701 8154 9513 15402 17969 19026 23103 28539 35938 46206 53907 57078 69309 107814 138618 161721 323442 485163 970326