Search a number
-
+
2997333 = 32379001
BaseRepresentation
bin1011011011110001010101
312122021120100
423123301111
51231403313
6144124313
734322403
oct13336125
95567510
102997333
111767a39
121006699
1380c391
14580473
153e3173
hex2dbc55

2997333 has 12 divisors (see below), whose sum is σ = 4446988. Its totient is φ = 1944000.

The previous prime is 2997329. The next prime is 2997341. The reversal of 2997333 is 3337992.

It can be written as a sum of positive squares in 2 ways, for example, as 1656369 + 1340964 = 1287^2 + 1158^2 .

It is not a de Polignac number, because 2997333 - 22 = 2997329 is a prime.

It is a super-2 number, since 2×29973332 = 17968010225778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2997373) 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 11 ways as a sum of consecutive naturals, for example, 4168 + ... + 4833.

22997333 is an apocalyptic number.

It is an amenable number.

2997333 is a deficient number, since it is larger than the sum of its proper divisors (1449655).

2997333 is a wasteful number, since it uses less digits than its factorization.

2997333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9041 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 2997333 is about 1731.2807397993. The cubic root of 2997333 is about 144.1822056973.

It can be divided in two parts, 2997 and 333, that multiplied together give a square (998001 = 9992).

The spelling of 2997333 in words is "two million, nine hundred ninety-seven thousand, three hundred thirty-three".

Divisors: 1 3 9 37 111 333 9001 27003 81009 333037 999111 2997333