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34006941 = 3219712801
BaseRepresentation
bin1000000110111…
…0011110011101
32100222201202100
42001232132131
532201210231
63212515313
7562024413
oct201563635
970881670
1034006941
1118217a11
12b47bb39
137078a67
1447332b3
152ebb1e6
hex206e79d

34006941 has 24 divisors (see below), whose sum is σ = 52453440. Its totient is φ = 21168000.

The previous prime is 34006933. The next prime is 34006963. The reversal of 34006941 is 14960043.

It is not a de Polignac number, because 34006941 - 23 = 34006933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10741 + ... + 13541.

It is an arithmetic number, because the mean of its divisors is an integer number (2185560).

Almost surely, 234006941 is an apocalyptic number.

It is an amenable number.

34006941 is a deficient number, since it is larger than the sum of its proper divisors (18446499).

34006941 is a wasteful number, since it uses less digits than its factorization.

34006941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34006941 is about 5831.5470503118. The cubic root of 34006941 is about 323.9832238685.

Adding to 34006941 its reverse (14960043), we get a palindrome (48966984).

The spelling of 34006941 in words is "thirty-four million, six thousand, nine hundred forty-one".

Divisors: 1 3 9 19 57 71 171 213 639 1349 2801 4047 8403 12141 25209 53219 159657 198871 478971 596613 1789839 3778549 11335647 34006941