Search a number
-
+
97340384 = 2547611061
BaseRepresentation
bin1011100110101…
…00101111100000
320210011101220102
411303110233200
5144404343014
613354201532
72261244131
oct563245740
9223141812
1097340384
114aa452a9
12287232a8
131722207b
14ccdbc88
15882b8de
hex5cd4be0

97340384 has 48 divisors (see below), whose sum is σ = 199112256. Its totient is φ = 46809600.

The previous prime is 97340371. The next prime is 97340387. The reversal of 97340384 is 48304379.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97340387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91214 + ... + 92274.

It is an arithmetic number, because the mean of its divisors is an integer number (4148172).

Almost surely, 297340384 is an apocalyptic number.

97340384 is a gapful number since it is divisible by the number (94) 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 97340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99556128).

97340384 is an abundant number, since it is smaller than the sum of its proper divisors (101771872).

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

97340384 is a wasteful number, since it uses less digits than its factorization.

97340384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 97340384 is about 9866.1230480873. The cubic root of 97340384 is about 460.0069060085.

The spelling of 97340384 in words is "ninety-seven million, three hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 61 94 122 188 244 376 488 752 976 1061 1504 1952 2122 2867 4244 5734 8488 11468 16976 22936 33952 45872 49867 64721 91744 99734 129442 199468 258884 398936 517768 797872 1035536 1595744 2071072 3041887 6083774 12167548 24335096 48670192 97340384