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243081480 = 233523293037
BaseRepresentation
bin11100111110100…
…10000100001000
3121221101211002210
432133102010020
5444212101410
640042025120
76011105235
oct1637220410
9557354083
10243081480
11115238794
12694a81a0
133b48c5c5
14243d878c
1516519220
hexe7d2108

243081480 has 128 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 59845632.

The previous prime is 243081467. The next prime is 243081491. The reversal of 243081480 is 84180342.

It is a super-3 number, since 3×2430814803 (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78522 + ... + 81558.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2243081480 is an apocalyptic number.

243081480 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 243081480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

243081480 is an abundant number, since it is smaller than the sum of its proper divisors (544368120).

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

243081480 is a wasteful number, since it uses less digits than its factorization.

243081480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 243081480 is about 15591.0705212952. The cubic root of 243081480 is about 624.0948861296.

The spelling of 243081480 in words is "two hundred forty-three million, eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3037 3335 3480 4002 5336 6074 6670 8004 9111 10005 12148 13340 15185 16008 18222 20010 24296 26680 30370 36444 40020 45555 60740 69851 72888 80040 88073 91110 121480 139702 176146 182220 209553 264219 279404 349255 352292 364440 419106 440365 528438 558808 698510 704584 838212 880730 1047765 1056876 1321095 1397020 1676424 1761460 2025679 2095530 2113752 2642190 2794040 3522920 4051358 4191060 5284380 6077037 8102716 8382120 10128395 10568760 12154074 16205432 20256790 24308148 30385185 40513580 48616296 60770370 81027160 121540740 243081480