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34180104 = 2337316563
BaseRepresentation
bin1000001001100…
…0110000001000
32101022112021210
42002120300020
532222230404
63220333120
7563345310
oct202306010
971275253
1034180104
1118326022
12b5441a0
13710981a
14477a440
153002689
hex2098c08

34180104 has 64 divisors (see below), whose sum is σ = 100823040. Its totient is φ = 9449280.

The previous prime is 34180103. The next prime is 34180109. The reversal of 34180104 is 40108143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34180103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927 + ... + 8489.

It is an arithmetic number, because the mean of its divisors is an integer number (1575360).

Almost surely, 234180104 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 34180104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50411520).

34180104 is an abundant number, since it is smaller than the sum of its proper divisors (66642936).

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

34180104 is a wasteful number, since it uses less digits than its factorization.

34180104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 34180104 is about 5846.3752873041. The cubic root of 34180104 is about 324.5321995615.

Adding to 34180104 its reverse (40108143), we get a palindrome (74288247).

The spelling of 34180104 in words is "thirty-four million, one hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 6563 13126 19689 26252 39378 45941 52504 78756 91882 137823 157512 183764 203453 275646 367528 406906 551292 610359 813812 1102584 1220718 1424171 1627624 2441436 2848342 4272513 4882872 5696684 8545026 11393368 17090052 34180104