Search a number
-
+
423104000 = 295311601
BaseRepresentation
bin11001001110000…
…000111000000000
31002111010220120112
4121032000320000
51331303312000
6105552330452
713325216234
oct3116007000
91074126515
10423104000
111a7916330
12b9843a28
13698707c7
144029a5c4
1527229235
hex19380e00

423104000 has 160 divisors (see below), whose sum is σ = 1152863712. Its totient is φ = 153600000.

The previous prime is 423103999. The next prime is 423104063. The reversal of 423104000 is 401324.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703700 + ... + 704300.

Almost surely, 2423104000 is an apocalyptic number.

423104000 is a gapful number since it is divisible by the number (40) 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 423104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576431856).

423104000 is an abundant number, since it is smaller than the sum of its proper divisors (729759712).

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

423104000 is an equidigital number, since it uses as much as digits as its factorization.

423104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 423104000 is about 20569.4919723361. The cubic root of 423104000 is about 750.7275902180.

Adding to 423104000 its reverse (401324), we get a palindrome (423505324).

The spelling of 423104000 in words is "four hundred twenty-three million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 512 550 601 640 704 800 880 1000 1100 1202 1280 1375 1408 1600 1760 2000 2200 2404 2560 2750 2816 3005 3200 3520 4000 4400 4808 5500 5632 6010 6400 6611 7040 8000 8800 9616 11000 12020 12800 13222 14080 15025 16000 17600 19232 22000 24040 26444 28160 30050 32000 33055 35200 38464 44000 48080 52888 60100 64000 66110 70400 75125 76928 88000 96160 105776 120200 132220 140800 150250 153856 165275 176000 192320 211552 240400 264440 300500 307712 330550 352000 384640 423104 480800 528880 601000 661100 704000 769280 826375 846208 961600 1057760 1202000 1322200 1538560 1652750 1692416 1923200 2115520 2404000 2644400 3305500 3384832 3846400 4231040 4808000 5288800 6611000 7692800 8462080 9616000 10577600 13222000 16924160 19232000 21155200 26444000 38464000 42310400 52888000 84620800 105776000 211552000 423104000