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34160040 = 2332594889
BaseRepresentation
bin1000001001001…
…1110110101000
32101021111202200
42002103312220
532221110130
63220100200
7563232645
oct202236650
971244680
1034160040
1118311a42
12b534660
137100655
144772dcc
152eeb760
hex2093da8

34160040 has 48 divisors (see below), whose sum is σ = 111021300. Its totient is φ = 9109248.

The previous prime is 34160039. The next prime is 34160051. The reversal of 34160040 is 4006143.

It can be written as a sum of positive squares in 2 ways, for example, as 31069476 + 3090564 = 5574^2 + 1758^2 .

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 = 34159995 and 34160022.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 47085 + ... + 47804.

Almost surely, 234160040 is an apocalyptic number.

34160040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34160040 is an abundant number, since it is smaller than the sum of its proper divisors (76861260).

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

34160040 is a wasteful number, since it uses less digits than its factorization.

34160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94906 (or 94899 counting only the distinct ones).

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

The square root of 34160040 is about 5844.6591004095. The cubic root of 34160040 is about 324.4686861157.

Adding to 34160040 its reverse (4006143), we get a palindrome (38166183).

The spelling of 34160040 in words is "thirty-four million, one hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 94889 189778 284667 379556 474445 569334 759112 854001 948890 1138668 1423335 1708002 1897780 2277336 2846670 3416004 3795560 4270005 5693340 6832008 8540010 11386680 17080020 34160040