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2973438 = 2321397131
BaseRepresentation
bin1011010101111011111110
312121001210100
423111323332
51230122223
6143421530
734162626
oct13257376
95531710
102973438
111750a96
12bb48a6
13801540
14575886
153db043
hex2d5efe

2973438 has 48 divisors (see below), whose sum is σ = 7063056. Its totient is φ = 898560.

The previous prime is 2973437. The next prime is 2973449. The reversal of 2973438 is 8343792.

It is a d-powerful number, because it can be written as 221 + 9 + 77 + 33 + 44 + 39 + 85 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22633 + ... + 22763.

It is an arithmetic number, because the mean of its divisors is an integer number (147147).

22973438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2973438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531528).

2973438 is an abundant number, since it is smaller than the sum of its proper divisors (4089618).

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

2973438 is a wasteful number, since it uses less digits than its factorization.

2973438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2973438 is about 1724.3659704367. The cubic root of 2973438 is about 143.7980386390.

The spelling of 2973438 in words is "two million, nine hundred seventy-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 131 194 234 262 291 393 582 786 873 1179 1261 1703 1746 2358 2522 3406 3783 5109 7566 10218 11349 12707 15327 22698 25414 30654 38121 76242 114363 165191 228726 330382 495573 991146 1486719 2973438