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243036480 = 2635383661
BaseRepresentation
bin11100111110001…
…11000101000000
3121221022112101010
432133013011000
5444204131410
640041040520
76010530111
oct1637070500
9557275333
10243036480
111152079a5
1269486140
133b474c8b
14243c6208
151650ac20
hexe7c7140

243036480 has 112 divisors (see below), whose sum is σ = 774825984. Its totient is φ = 64542720.

The previous prime is 243036449. The next prime is 243036481. The reversal of 243036480 is 84630342.

It is a super-2 number, since 2×2430364802 = 118133461221580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243036481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367350 + ... + 368010.

Almost surely, 2243036480 is an apocalyptic number.

243036480 is a gapful number since it is divisible by the number (20) 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 243036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387412992).

243036480 is an abundant number, since it is smaller than the sum of its proper divisors (531789504).

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

243036480 is a wasteful number, since it uses less digits than its factorization.

243036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 243036480 is about 15589.6273207540. The cubic root of 243036480 is about 624.0563722905.

The spelling of 243036480 in words is "two hundred forty-three million, thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 383 480 661 766 960 1149 1322 1532 1915 1983 2298 2644 3064 3305 3830 3966 4596 5288 5745 6128 6610 7660 7932 9192 9915 10576 11490 12256 13220 15320 15864 18384 19830 21152 22980 24512 26440 30640 31728 36768 39660 42304 45960 52880 61280 63456 73536 79320 91920 105760 122560 126912 158640 183840 211520 253163 317280 367680 506326 634560 759489 1012652 1265815 1518978 2025304 2531630 3037956 3797445 4050608 5063260 6075912 7594890 8101216 10126520 12151824 15189780 16202432 20253040 24303648 30379560 40506080 48607296 60759120 81012160 121518240 243036480