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2993431 = 71971317
BaseRepresentation
bin1011011010110100010111
312122002012211
423122310113
51231242211
6144054251
734305130
oct13326427
95562184
102993431
111765011
121004387
1380a67c
1457cc87
153e1e21
hex2dad17

2993431 has 16 divisors (see below), whose sum is σ = 3663360. Its totient is φ = 2388960.

The previous prime is 2993423. The next prime is 2993437. The reversal of 2993431 is 1343992.

It is not a de Polignac number, because 2993431 - 23 = 2993423 is a prime.

It is a super-2 number, since 2×29934312 = 17921258303522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2993393 and 2993402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993437) 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 15 ways as a sum of consecutive naturals, for example, 9285 + ... + 9601.

It is an arithmetic number, because the mean of its divisors is an integer number (228960).

22993431 is an apocalyptic number.

2993431 is a deficient number, since it is larger than the sum of its proper divisors (669929).

2993431 is a wasteful number, since it uses less digits than its factorization.

2993431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its digits is 5832, while the sum is 31.

The square root of 2993431 is about 1730.1534614016. The cubic root of 2993431 is about 144.1196119094.

The spelling of 2993431 in words is "two million, nine hundred ninety-three thousand, four hundred thirty-one".

Divisors: 1 7 19 71 133 317 497 1349 2219 6023 9443 22507 42161 157549 427633 2993431