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293031 = 3310853
BaseRepresentation
bin1000111100010100111
3112212222000
41013202213
533334111
610140343
72330214
oct1074247
9485860
10293031
11190182
121216b3
13a34bb
1478b0b
155bc56
hex478a7

293031 has 8 divisors (see below), whose sum is σ = 434160. Its totient is φ = 195336.

The previous prime is 293021. The next prime is 293071. The reversal of 293031 is 130392.

It is not a de Polignac number, because 293031 - 213 = 284839 is a prime.

It is a super-2 number, since 2×2930312 = 171734333922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 292995 and 293013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293031.

It is not an unprimeable number, because it can be changed into a prime (293021) 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, 5400 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (54270).

2293031 is an apocalyptic number.

293031 is a deficient number, since it is larger than the sum of its proper divisors (141129).

293031 is a wasteful number, since it uses less digits than its factorization.

293031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10862 (or 10856 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 293031 is about 541.3233783978. The cubic root of 293031 is about 66.4208642760.

The spelling of 293031 in words is "two hundred ninety-three thousand, thirty-one".

Divisors: 1 3 9 27 10853 32559 97677 293031