Search a number
-
+
61834104 = 2334372579
BaseRepresentation
bin1110101111100…
…0001101111000
311022100111110000
43223320031320
5111312142404
610045153000
71350403233
oct353701570
9138314400
1061834104
11319a3972
121885b760
13ca6ca37
1482d841a
155666339
hex3af8378

61834104 has 80 divisors (see below), whose sum is σ = 177942600. Its totient is φ = 20046528.

The previous prime is 61834103. The next prime is 61834121. The reversal of 61834104 is 40143816.

61834104 is a `hidden beast` number, since 618 + 3 + 41 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61834103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22687 + ... + 25265.

Almost surely, 261834104 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 61834104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88971300).

61834104 is an abundant number, since it is smaller than the sum of its proper divisors (116108496).

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

61834104 is a wasteful number, since it uses less digits than its factorization.

61834104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61834104 is about 7863.4664111955. The cubic root of 61834104 is about 395.4358357595.

The spelling of 61834104 in words is "sixty-one million, eight hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2579 2664 2997 3996 5158 5994 7737 7992 10316 11988 15474 20632 23211 23976 30948 46422 61896 69633 92844 95423 139266 185688 190846 208899 278532 286269 381692 417798 557064 572538 763384 835596 858807 1145076 1671192 1717614 2290152 2576421 3435228 5152842 6870456 7729263 10305684 15458526 20611368 30917052 61834104