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2984193 = 32331577
BaseRepresentation
bin1011011000100100000001
312121121112200
423120210001
51230443233
6143543413
734236162
oct13304401
95547480
102984193
111759083
12bbab69
138063c4
14579769
153de313
hex2d8901

2984193 has 6 divisors (see below), whose sum is σ = 4310514. Its totient is φ = 1989456.

The previous prime is 2984183. The next prime is 2984203. The reversal of 2984193 is 3914892.

It is an interprime number because it is at equal distance from previous prime (2984183) and next prime (2984203).

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 1046529 = 1392^2 + 1023^2 .

It is not a de Polignac number, because 2984193 - 29 = 2983681 is a prime.

It is a super-2 number, since 2×29841932 = 17810815722498, which contains 22 as substring.

It is an Ulam number.

2984193 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2984143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165780 + ... + 165797.

It is an arithmetic number, because the mean of its divisors is an integer number (718419).

22984193 is an apocalyptic number.

It is an amenable number.

2984193 is a deficient number, since it is larger than the sum of its proper divisors (1326321).

2984193 is a wasteful number, since it uses less digits than its factorization.

2984193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331583 (or 331580 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2984193 is about 1727.4816931013. The cubic root of 2984193 is about 143.9712037326.

The spelling of 2984193 in words is "two million, nine hundred eighty-four thousand, one hundred ninety-three".

Divisors: 1 3 9 331577 994731 2984193