Search a number
-
+
34006122 = 233629743
BaseRepresentation
bin1000000110111…
…0010001101010
32100222200122000
42001232101222
532201143442
63212511430
7562022133
oct201562152
970880560
1034006122
1118217337
12b47b576
137078587
144732c8a
152ebad4c
hex206e46a

34006122 has 16 divisors (see below), whose sum is σ = 75569280. Its totient is φ = 11335356.

The previous prime is 34006109. The next prime is 34006127. The reversal of 34006122 is 22160043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34006095 and 34006104.

It is not an unprimeable number, because it can be changed into a prime (34006127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314818 + ... + 314925.

It is an arithmetic number, because the mean of its divisors is an integer number (4723080).

Almost surely, 234006122 is an apocalyptic number.

34006122 is an abundant number, since it is smaller than the sum of its proper divisors (41563158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34006122 is a wasteful number, since it uses less digits than its factorization.

34006122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629754 (or 629748 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34006122 is about 5831.4768283858. The cubic root of 34006122 is about 323.9806229838.

Adding to 34006122 its reverse (22160043), we get a palindrome (56166165).

The spelling of 34006122 in words is "thirty-four million, six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 629743 1259486 1889229 3778458 5667687 11335374 17003061 34006122