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34941040 = 2451094007
BaseRepresentation
bin1000010101001…
…0100001110000
32102202012002121
42011102201300
532421103130
63244524024
7602664631
oct205224160
972665077
1034941040
11187a57a2
12b850614
137314c94
1448d7888
153102d7a
hex2152870

34941040 has 40 divisors (see below), whose sum is σ = 82003680. Its totient is φ = 13844736.

The previous prime is 34941029. The next prime is 34941041. The reversal of 34941040 is 4014943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34940996 and 34941014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34941041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6717 + ... + 10723.

It is an arithmetic number, because the mean of its divisors is an integer number (2050092).

Almost surely, 234941040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41001840).

34941040 is an abundant number, since it is smaller than the sum of its proper divisors (47062640).

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

34941040 is a wasteful number, since it uses less digits than its factorization.

34941040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 34941040 is about 5911.0946532770. The cubic root of 34941040 is about 326.9228496210.

Adding to 34941040 its reverse (4014943), we get a palindrome (38955983).

The spelling of 34941040 in words is "thirty-four million, nine hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4007 4360 8014 8720 16028 20035 32056 40070 64112 80140 160280 320560 436763 873526 1747052 2183815 3494104 4367630 6988208 8735260 17470520 34941040