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484517340 = 2232517191829
BaseRepresentation
bin11100111000010…
…010010111011100
31020202201000211200
4130320102113130
51443014023330
6120024515500
715002220666
oct3470222734
91222630750
10484517340
1122955205a
1211631bb90
13794c3b68
14484c5536
152c80aa60
hex1ce125dc

484517340 has 144 divisors (see below), whose sum is σ = 1566190080. Its totient is φ = 120821760.

The previous prime is 484517311. The next prime is 484517353. The reversal of 484517340 is 43715484.

484517340 is a `hidden beast` number, since 484 + 5 + 173 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 484517295 and 484517304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584046 + ... + 584874.

It is an arithmetic number, because the mean of its divisors is an integer number (10876320).

Almost surely, 2484517340 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 484517340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783095040).

484517340 is an abundant number, since it is smaller than the sum of its proper divisors (1081672740).

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

484517340 is a wasteful number, since it uses less digits than its factorization.

484517340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 484517340 is about 22011.7545870383. The cubic root of 484517340 is about 785.4220835846.

The spelling of 484517340 in words is "four hundred eighty-four million, five hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 191 204 255 306 340 382 510 573 612 764 765 829 955 1020 1146 1530 1658 1719 1910 2292 2487 2865 3060 3247 3316 3438 3820 4145 4974 5730 6494 6876 7461 8290 8595 9741 9948 11460 12435 12988 14093 14922 16235 16580 17190 19482 24870 28186 29223 29844 32470 34380 37305 38964 42279 48705 49740 56372 58446 64940 70465 74610 84558 97410 116892 126837 140930 146115 149220 158339 169116 194820 211395 253674 281860 292230 316678 422790 475017 507348 584460 633356 634185 791695 845580 950034 1268370 1425051 1583390 1900068 2375085 2536740 2691763 2850102 3166780 4750170 5383526 5700204 7125255 8075289 9500340 10767052 13458815 14250510 16150578 24225867 26917630 28501020 32301156 40376445 48451734 53835260 80752890 96903468 121129335 161505780 242258670 484517340