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104434000 = 24531147101
BaseRepresentation
bin1100011100110…
…00100101010000
321021111210111221
412032120211100
5203213342000
614210214424
72405450206
oct616304520
9237453457
10104434000
1153a4a8a0
122ab84414
1318836a88
14dc27076
15927d61a
hex6398950

104434000 has 160 divisors (see below), whose sum is σ = 284124672. Its totient is φ = 36800000.

The previous prime is 104433997. The next prime is 104434021. The reversal of 104434000 is 434401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1033950 + ... + 1034050.

Almost surely, 2104434000 is an apocalyptic number.

104434000 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 104434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142062336).

104434000 is an abundant number, since it is smaller than the sum of its proper divisors (179690672).

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

104434000 is a wasteful number, since it uses less digits than its factorization.

104434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 104434000 is about 10219.2954747380. The cubic root of 104434000 is about 470.9201830720.

Adding to 104434000 its reverse (434401), we get a palindrome (104868401).

The spelling of 104434000 in words is "one hundred four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 101 110 125 176 188 200 202 220 235 250 275 376 400 404 440 470 500 505 517 550 752 808 880 940 1000 1010 1034 1100 1111 1175 1375 1616 1880 2000 2020 2068 2200 2222 2350 2525 2585 2750 3760 4040 4136 4400 4444 4700 4747 5050 5170 5500 5555 5875 8080 8272 8888 9400 9494 10100 10340 11000 11110 11750 12625 12925 17776 18800 18988 20200 20680 22000 22220 23500 23735 25250 25850 27775 37976 40400 41360 44440 47000 47470 50500 51700 52217 55550 64625 75952 88880 94000 94940 101000 103400 104434 111100 118675 129250 138875 189880 202000 206800 208868 222200 237350 258500 261085 277750 379760 417736 444400 474700 517000 522170 555500 593375 835472 949400 1034000 1044340 1111000 1186750 1305425 1898800 2088680 2222000 2373500 2610850 4177360 4747000 5221700 6527125 9494000 10443400 13054250 20886800 26108500 52217000 104434000