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104440320 = 293351511
BaseRepresentation
bin1100011100110…
…10001000000000
321021112010012000
412032122020000
5203214042240
614210304000
72405504505
oct616321000
9237463160
10104440320
1153a54616
122ab88000
131883990a
14dc294ac
159280430
hex639a200

104440320 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 27832320.

The previous prime is 104440313. The next prime is 104440327. The reversal of 104440320 is 23044401.

It is an interprime number because it is at equal distance from previous prime (104440313) and next prime (104440327).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104440293 and 104440302.

It is not an unprimeable number, because it can be changed into a prime (104440327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68365 + ... + 69875.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2104440320 is an apocalyptic number.

104440320 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 104440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

104440320 is an abundant number, since it is smaller than the sum of its proper divisors (266785920).

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

104440320 is an equidigital number, since it uses as much as digits as its factorization.

104440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104440320 is about 10219.6046890278. The cubic root of 104440320 is about 470.9296823907.

Adding to 104440320 its reverse (23044401), we get a palindrome (127484721).

The spelling of 104440320 in words is "one hundred four million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1511 1536 1728 1920 2160 2304 2560 2880 3022 3456 3840 4320 4533 4608 5760 6044 6912 7555 7680 8640 9066 11520 12088 13599 13824 15110 17280 18132 22665 23040 24176 27198 30220 34560 36264 40797 45330 48352 54396 60440 67995 69120 72528 81594 90660 96704 108792 120880 135990 145056 163188 181320 193408 203985 217584 241760 271980 290112 326376 362640 386816 407970 435168 483520 543960 580224 652752 725280 773632 815940 870336 967040 1087920 1160448 1305504 1450560 1631880 1740672 1934080 2175840 2320896 2611008 2901120 3263760 3481344 3868160 4351680 5222016 5802240 6527520 6962688 8703360 10444032 11604480 13055040 17406720 20888064 26110080 34813440 52220160 104440320