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972734238 = 23377013671
BaseRepresentation
bin111001111110101…
…011111100011110
32111210101000112000
4321332223330132
53443004443423
6240305023130
733051050610
oct7176537436
92453330460
10972734238
1145a0a06a3
12231924aa6
131266b18b8
1493290db0
155a5e7843
hex39fabf1e

972734238 has 64 divisors (see below), whose sum is σ = 2474634240. Its totient is φ = 277452000.

The previous prime is 972734233. The next prime is 972734249. The reversal of 972734238 is 832437279.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 972734193 and 972734202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972734233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263143 + ... + 266813.

It is an arithmetic number, because the mean of its divisors is an integer number (38666160).

Almost surely, 2972734238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972734238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237317120).

972734238 is an abundant number, since it is smaller than the sum of its proper divisors (1501900002).

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

972734238 is a wasteful number, since it uses less digits than its factorization.

972734238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4384 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 972734238 is about 31188.6876607529. The cubic root of 972734238 is about 990.8275358063.

The spelling of 972734238 in words is "nine hundred seventy-two million, seven hundred thirty-four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 701 1402 2103 3671 4206 4907 6309 7342 9814 11013 12618 14721 18927 22026 25697 29442 33039 37854 44163 51394 66078 77091 88326 99117 132489 154182 198234 231273 264978 462546 693819 1387638 2573371 5146742 7720113 15440226 18013597 23160339 36027194 46320678 54040791 69481017 108081582 138962034 162122373 324244746 486367119 972734238