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2972943 = 34172127
BaseRepresentation
bin1011010101110100001111
312121001010000
423111310033
51230113233
6143415343
734161321
oct13256417
95531100
102972943
111750686
12bb4553
1380124c
14575611
153dad13
hex2d5d0f

2972943 has 30 divisors (see below), whose sum is σ = 4754816. Its totient is φ = 1850688.

The previous prime is 2972939. The next prime is 2972947. The reversal of 2972943 is 3492792.

It is an interprime number because it is at equal distance from previous prime (2972939) and next prime (2972947).

It is not a de Polignac number, because 2972943 - 22 = 2972939 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 2972898 and 2972907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23346 + ... + 23472.

22972943 is an apocalyptic number.

2972943 is a deficient number, since it is larger than the sum of its proper divisors (1781873).

2972943 is a wasteful number, since it uses less digits than its factorization.

2972943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2972943 is about 1724.2224334465. Note that the first 3 decimals coincide. The cubic root of 2972943 is about 143.7900586531.

It can be divided in two parts, 297 and 2943, that added together give a triangular number (3240 = T80).

The spelling of 2972943 in words is "two million, nine hundred seventy-two thousand, nine hundred forty-three".

Divisors: 1 3 9 17 27 51 81 127 153 289 381 459 867 1143 1377 2159 2601 3429 6477 7803 10287 19431 23409 36703 58293 110109 174879 330327 990981 2972943