Search a number
-
+
104404626 = 234679619
BaseRepresentation
bin1100011100100…
…01011010010010
321021110022020000
412032101122102
5203211422001
614205430430
72405265444
oct616213222
9237408200
10104404626
1153a2a817
122ab6b416
13188265b1
14dc1a494
159274a86
hex6391692

104404626 has 40 divisors (see below), whose sum is σ = 237460080. Its totient is φ = 34278552.

The previous prime is 104404591. The next prime is 104404627. The reversal of 104404626 is 626404401.

It is a super-3 number, since 3×1044046263 (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104404626.

It is not an unprimeable number, because it can be changed into a prime (104404627) 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, 6045 + ... + 15663.

It is an arithmetic number, because the mean of its divisors is an integer number (5936502).

Almost surely, 2104404626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104404626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118730040).

104404626 is an abundant number, since it is smaller than the sum of its proper divisors (133055454).

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

104404626 is an equidigital number, since it uses as much as digits as its factorization.

104404626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9700 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104404626 is about 10217.8581904428. The cubic root of 104404626 is about 470.8760272525.

The spelling of 104404626 in words is "one hundred four million, four hundred four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 402 603 1206 1809 3618 5427 9619 10854 19238 28857 57714 86571 173142 259713 519426 644473 779139 1288946 1558278 1933419 3866838 5800257 11600514 17400771 34801542 52202313 104404626