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423823104 = 2837757
BaseRepresentation
bin11001010000110…
…000011100000000
31002112111110000000
4121100300130000
51331444314404
6110020000000
713334302605
oct3120603400
91075443000
10423823104
111a8267631
12b9b30000
1369a62c03
14404066ac
152731c339
hex19430700

423823104 has 144 divisors (see below), whose sum is σ = 1270468640. Its totient is φ = 141087744.

The previous prime is 423823091. The next prime is 423823129. The reversal of 423823104 is 401328324.

423823104 is a `hidden beast` number, since 423 + 8 + 231 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 559494 + ... + 560250.

Almost surely, 2423823104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635234320).

423823104 is an abundant number, since it is smaller than the sum of its proper divisors (846645536).

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

423823104 is an frugal number, since it uses more digits than its factorization.

423823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 423823104 is about 20586.9644192630. The cubic root of 423823104 is about 751.1526595936.

The spelling of 423823104 in words is "four hundred twenty-three million, eight hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 757 768 864 972 1152 1296 1458 1514 1728 1944 2187 2271 2304 2592 2916 3028 3456 3888 4374 4542 5184 5832 6056 6813 6912 7776 8748 9084 10368 11664 12112 13626 15552 17496 18168 20439 20736 23328 24224 27252 31104 34992 36336 40878 46656 48448 54504 61317 62208 69984 72672 81756 93312 96896 109008 122634 139968 145344 163512 183951 186624 193792 218016 245268 279936 290688 327024 367902 436032 490536 551853 559872 581376 654048 735804 872064 981072 1103706 1308096 1471608 1655559 1744128 1962144 2207412 2616192 2943216 3311118 3924288 4414824 5232384 5886432 6622236 7848576 8829648 11772864 13244472 15697152 17659296 23545728 26488944 35318592 47091456 52977888 70637184 105955776 141274368 211911552 423823104