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484341120 = 273459343
BaseRepresentation
bin11100110111100…
…111010110000000
31020202101002010000
4130313213112000
51442442403440
6120021040000
715000555144
oct3467472600
91222332100
10484341120
1122944171a
12116256000
13794618a3
144847b224
152c7c3730
hex1cde7580

484341120 has 160 divisors (see below), whose sum is σ = 1729854720. Its totient is φ = 129143808.

The previous prime is 484341119. The next prime is 484341127. The reversal of 484341120 is 21143484.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484341127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47169 + ... + 56511.

It is an arithmetic number, because the mean of its divisors is an integer number (10811592).

Almost surely, 2484341120 is an apocalyptic number.

484341120 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 484341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864927360).

484341120 is an abundant number, since it is smaller than the sum of its proper divisors (1245513600).

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

484341120 is an equidigital number, since it uses as much as digits as its factorization.

484341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 484341120 is about 22007.7513617362. The cubic root of 484341120 is about 785.3268521373.

The spelling of 484341120 in words is "four hundred eighty-four million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 9343 10368 12960 17280 18686 25920 28029 37372 46715 51840 56058 74744 84087 93430 112116 140145 149488 168174 186860 224232 252261 280290 298976 336348 373720 420435 448464 504522 560580 597952 672696 747440 756783 840870 896928 1009044 1121160 1195904 1261305 1345392 1494880 1513566 1681740 1793856 2018088 2242320 2522610 2690784 2989760 3027132 3363480 3587712 3783915 4036176 4484640 5045220 5381568 5979520 6054264 6726960 7567830 8072352 8969280 10090440 10763136 12108528 13453920 15135660 16144704 17938560 20180880 24217056 26907840 30271320 32289408 40361760 48434112 53815680 60542640 80723520 96868224 121085280 161447040 242170560 484341120