Search a number
-
+
104044338 = 2310881
BaseRepresentation
bin1100011001110…
…01011100110010
321020210000000000
412030321130302
5203113404323
614154010430
72402235156
oct614713462
9236700000
10104044338
1153804062
122aa16a16
131872b5c8
14db65066
159202e43
hex6339732

104044338 has 44 divisors (see below), whose sum is σ = 234364158. Its totient is φ = 34642080.

The previous prime is 104044337. The next prime is 104044349. The reversal of 104044338 is 833440401.

It can be written as a sum of positive squares in only one way, i.e., 99261369 + 4782969 = 9963^2 + 2187^2 .

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104044337) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 117658 + ... + 118538.

Almost surely, 2104044338 is an apocalyptic number.

104044338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104044338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117182079).

104044338 is an abundant number, since it is smaller than the sum of its proper divisors (130319820).

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

104044338 is an frugal number, since it uses more digits than its factorization.

104044338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 886 counting only the distinct ones).

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

The square root of 104044338 is about 10200.2126448423. The cubic root of 104044338 is about 470.3337572015. Note that the first 3 decimals are identical.

Adding to 104044338 its reverse (833440401), we get a palindrome (937484739).

The spelling of 104044338 in words is "one hundred four million, forty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 881 1458 1762 2187 2643 4374 5286 6561 7929 13122 15858 19683 23787 39366 47574 59049 71361 118098 142722 214083 428166 642249 1284498 1926747 3853494 5780241 11560482 17340723 34681446 52022169 104044338