Search a number
-
+
104343440 = 2451923613
BaseRepresentation
bin1100011100000…
…10011110010000
321021100012021212
412032002132100
5203202442230
614204235252
72404622165
oct616023620
9237305255
10104343440
1153998853
122ab3bb28
13188047a6
14dc0206c
159261895
hex6382790

104343440 has 60 divisors (see below), whose sum is σ = 256109724. Its totient is φ = 39529728.

The previous prime is 104343397. The next prime is 104343443. The reversal of 104343440 is 44343401.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 93161104 = 3344^2 + 9652^2 .

It is not an unprimeable number, because it can be changed into a prime (104343443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27074 + ... + 30686.

Almost surely, 2104343440 is an apocalyptic number.

104343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128054862).

104343440 is an abundant number, since it is smaller than the sum of its proper divisors (151766284).

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

104343440 is a wasteful number, since it uses less digits than its factorization.

104343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 104343440 is about 10214.8636799519. The cubic root of 104343440 is about 470.7840241432.

Adding to 104343440 its reverse (44343401), we get a palindrome (148686841).

The spelling of 104343440 in words is "one hundred four million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 722 760 1444 1520 1805 2888 3610 3613 5776 7220 7226 14440 14452 18065 28880 28904 36130 57808 68647 72260 137294 144520 274588 289040 343235 549176 686470 1098352 1304293 1372940 2608586 2745880 5217172 5491760 6521465 10434344 13042930 20868688 26085860 52171720 104343440