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97340 = 22531157
BaseRepresentation
bin10111110000111100
311221112012
4113300330
511103330
62030352
7553535
oct276074
9157465
1097340
1167151
12483b8
13353c9
142768c
151dc95
hex17c3c

97340 has 24 divisors (see below), whose sum is σ = 212352. Its totient is φ = 37440.

The previous prime is 97327. The next prime is 97367. The reversal of 97340 is 4379.

It is a congruent number.

It is an unprimeable number.

97340 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 7 ways as a sum of consecutive naturals, for example, 542 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (8848).

297340 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 97340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106176).

97340 is an abundant number, since it is smaller than the sum of its proper divisors (115012).

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

97340 is a wasteful number, since it uses less digits than its factorization.

97340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 97340 is about 311.9935896777. The cubic root of 97340 is about 46.0006301111. Note that the first 3 decimals are identical.

The spelling of 97340 in words is "ninety-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 157 310 314 620 628 785 1570 3140 4867 9734 19468 24335 48670 97340