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4322098080 = 2532510728051
BaseRepresentation
bin1000000011001110…
…11111101110100000
3102011012210022221200
410001213133232200
532322424114310
61552513321200
7212051141016
oct40147375640
912135708850
104322098080
111918791293
12a07566200
1353b5888b1
142d003a8b6
151a469b9c0
hex1019dfba0

4322098080 has 144 divisors (see below), whose sum is σ = 14887533024. Its totient is φ = 1141747200.

The previous prime is 4322098063. The next prime is 4322098147. The reversal of 4322098080 is 808902234.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140055 + ... + 168105.

It is an arithmetic number, because the mean of its divisors is an integer number (103385646).

Almost surely, 24322098080 is an apocalyptic number.

4322098080 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 4322098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443766512).

4322098080 is an abundant number, since it is smaller than the sum of its proper divisors (10565434944).

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

4322098080 is a wasteful number, since it uses less digits than its factorization.

4322098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28179 (or 28168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4322098080 is about 65742.6655985289. The cubic root of 4322098080 is about 1628.9141877159.

The spelling of 4322098080 in words is "four billion, three hundred twenty-two million, ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 642 720 856 963 1070 1284 1440 1605 1712 1926 2140 2568 3210 3424 3852 4280 4815 5136 6420 7704 8560 9630 10272 12840 15408 17120 19260 25680 28051 30816 38520 51360 56102 77040 84153 112204 140255 154080 168306 224408 252459 280510 336612 420765 448816 504918 561020 673224 841530 897632 1009836 1122040 1262295 1346448 1683060 2019672 2244080 2524590 2692896 3001457 3366120 4039344 4488160 5049180 6002914 6732240 8078688 9004371 10098360 12005828 13464480 15007285 18008742 20196720 24011656 27013113 30014570 36017484 40393440 45021855 48023312 54026226 60029140 72034968 90043710 96046624 108052452 120058280 135065565 144069936 180087420 216104904 240116560 270131130 288139872 360174840 432209808 480233120 540262260 720349680 864419616 1080524520 1440699360 2161049040 4322098080