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9230001408 = 283310912251
BaseRepresentation
bin10001001100010011…
…01010010100000000
3212211020212122122000
420212021222110000
5122400340021113
64123514544000
7444504501045
oct104611522400
925736778560
109230001408
113a07105741
121957138000
13b413100c4
14637ba71cc
153904b0373
hex22626a500

9230001408 has 144 divisors (see below), whose sum is σ = 27547396800. Its totient is φ = 3048192000.

The previous prime is 9230001397. The next prime is 9230001427. The reversal of 9230001408 is 8041000329.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747283 + ... + 759533.

Almost surely, 29230001408 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 9230001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773698400).

9230001408 is an abundant number, since it is smaller than the sum of its proper divisors (18317395392).

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

9230001408 is a wasteful number, since it uses less digits than its factorization.

9230001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12385 (or 12365 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9230001408 is about 96072.8963235730. The cubic root of 9230001408 is about 2097.6543278296.

The spelling of 9230001408 in words is "nine billion, two hundred thirty million, one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 109 128 144 192 216 218 256 288 327 384 432 436 576 654 768 864 872 981 1152 1308 1728 1744 1962 2304 2616 2943 3456 3488 3924 5232 5886 6912 6976 7848 10464 11772 12251 13952 15696 20928 23544 24502 27904 31392 36753 41856 47088 49004 62784 73506 83712 94176 98008 110259 125568 147012 188352 196016 220518 251136 294024 330777 376704 392032 441036 588048 661554 753408 784064 882072 1176096 1323108 1335359 1568128 1764144 2352192 2646216 2670718 3136256 3528288 4006077 4704384 5292432 5341436 7056576 8012154 9408768 10584864 10682872 12018231 14113152 16024308 21169728 21365744 24036462 28226304 32048616 36054693 42339456 42731488 48072924 64097232 72109386 84678912 85462976 96145848 128194464 144218772 170925952 192291696 256388928 288437544 341851904 384583392 512777856 576875088 769166784 1025555712 1153750176 1538333568 2307500352 3076667136 4615000704 9230001408