Search a number
-
+
34242831 = 35741491
BaseRepresentation
bin1000001010100…
…0000100001111
32101102201100000
42002220010033
532231232311
63221535343
7564026220
oct202500417
971381300
1034242831
1118369167
12b574553
13712c23c
144795247
153016056
hex20a810f

34242831 has 48 divisors (see below), whose sum is σ = 60173568. Its totient is φ = 19051200.

The previous prime is 34242827. The next prime is 34242841. The reversal of 34242831 is 13824243.

It is not a de Polignac number, because 34242831 - 22 = 34242827 is a prime.

It is a super-2 number, since 2×342428312 = 2345142949789122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34242795 and 34242804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69496 + ... + 69986.

It is an arithmetic number, because the mean of its divisors is an integer number (1253616).

Almost surely, 234242831 is an apocalyptic number.

34242831 is a deficient number, since it is larger than the sum of its proper divisors (25930737).

34242831 is an equidigital number, since it uses as much as digits as its factorization.

34242831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 34242831 is about 5851.7374343010. The cubic root of 34242831 is about 324.7306043705.

The spelling of 34242831 in words is "thirty-four million, two hundred forty-two thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 243 287 369 491 567 861 1107 1473 1701 2583 3321 3437 4419 7749 9963 10311 13257 20131 23247 30933 39771 60393 69741 92799 119313 140917 181179 278397 422751 543537 835191 1268253 1630611 3804759 4891833 11414277 34242831