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104344320 = 283529937
BaseRepresentation
bin1100011100000…
…10101100000000
321021100020111110
412032002230000
5203203004240
614204243320
72404624563
oct616025400
9237306443
10104344320
1153999483
122ab40540
1318805002
14dc024da
159261c80
hex6382b00

104344320 has 144 divisors (see below), whose sum is σ = 345108960. Its totient is φ = 26836992.

The previous prime is 104344319. The next prime is 104344327. The reversal of 104344320 is 23443401.

It is not an unprimeable number, because it can be changed into a prime (104344327) 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, 110892 + ... + 111828.

It is an arithmetic number, because the mean of its divisors is an integer number (2396590).

Almost surely, 2104344320 is an apocalyptic number.

104344320 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 104344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172554480).

104344320 is an abundant number, since it is smaller than the sum of its proper divisors (240764640).

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

104344320 is an equidigital number, since it uses as much as digits as its factorization.

104344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 976 counting only the distinct ones).

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

The square root of 104344320 is about 10214.9067543468. The cubic root of 104344320 is about 470.7853476214.

Adding to 104344320 its reverse (23443401), we get a palindrome (127787721).

The spelling of 104344320 in words is "one hundred four million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 937 960 1160 1280 1392 1740 1856 1874 1920 2320 2784 2811 3480 3712 3748 3840 4640 4685 5568 5622 6960 7424 7496 9280 9370 11136 11244 13920 14055 14992 18560 18740 22272 22488 27173 27840 28110 29984 37120 37480 44976 54346 55680 56220 59968 74960 81519 89952 108692 111360 112440 119936 135865 149920 163038 179904 217384 224880 239872 271730 299840 326076 359808 407595 434768 449760 543460 599680 652152 719616 815190 869536 899520 1086920 1199360 1304304 1630380 1739072 1799040 2173840 2608608 3260760 3478144 3598080 4347680 5217216 6521520 6956288 8695360 10434432 13043040 17390720 20868864 26086080 34781440 52172160 104344320