Search a number
-
+
33142431 = 3710914479
BaseRepresentation
bin111111001101…
…1011010011111
32022100210212110
41332123122133
531441024211
63142205103
7551464110
oct176333237
968323773
1033142431
1117787443
12b123793
136b3540a
14458a207
152d99ea6
hex1f9b69f

33142431 has 16 divisors (see below), whose sum is σ = 50969600. Its totient is φ = 18763488.

The previous prime is 33142423. The next prime is 33142477. The reversal of 33142431 is 13424133.

It is not a de Polignac number, because 33142431 - 23 = 33142423 is a prime.

It is a super-2 number, since 2×331424312 = 2196841465179522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33142398 and 33142407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4951 + ... + 9528.

It is an arithmetic number, because the mean of its divisors is an integer number (3185600).

Almost surely, 233142431 is an apocalyptic number.

33142431 is a deficient number, since it is larger than the sum of its proper divisors (17827169).

33142431 is a wasteful number, since it uses less digits than its factorization.

33142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14598.

The product of its digits is 864, while the sum is 21.

The square root of 33142431 is about 5756.9463259614. The cubic root of 33142431 is about 321.2142376679.

Adding to 33142431 its reverse (13424133), we get a palindrome (46566564).

The spelling of 33142431 in words is "thirty-three million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 109 327 763 2289 14479 43437 101353 304059 1578211 4734633 11047477 33142431