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104432340 = 223573113211
BaseRepresentation
bin1100011100110…
…00001011010100
321021111201020110
412032120023110
5203213313330
614210203020
72405442315
oct616301324
9237451213
10104432340
1153a49621
122ab83470
13188360ac
14dc2660c
15927cdb0
hex63982d4

104432340 has 96 divisors (see below), whose sum is σ = 300456576. Its totient is φ = 27095040.

The previous prime is 104432327. The next prime is 104432347. The reversal of 104432340 is 43234401.

It is a super-2 number, since 2×1044323402 = 21812227275751200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104432347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494835 + ... + 495045.

It is an arithmetic number, because the mean of its divisors is an integer number (3129756).

Almost surely, 2104432340 is an apocalyptic number.

104432340 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 104432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150228288).

104432340 is an abundant number, since it is smaller than the sum of its proper divisors (196024236).

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

104432340 is a wasteful number, since it uses less digits than its factorization.

104432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 104432340 is about 10219.2142555091. The cubic root of 104432340 is about 470.9176879343.

Adding to 104432340 its reverse (43234401), we get a palindrome (147666741).

The spelling of 104432340 in words is "one hundred four million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 113 146 211 219 226 292 339 365 422 438 452 565 633 678 730 844 876 1055 1095 1130 1266 1356 1460 1695 2110 2190 2260 2532 3165 3390 4220 4380 6330 6780 8249 12660 15403 16498 23843 24747 30806 32996 41245 46209 47686 49494 61612 71529 77015 82490 92418 95372 98988 119215 123735 143058 154030 164980 184836 231045 238430 247470 286116 308060 357645 462090 476860 494940 715290 924180 1430580 1740539 3481078 5221617 6962156 8702695 10443234 17405390 20886468 26108085 34810780 52216170 104432340