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243124420 = 225711473359
BaseRepresentation
bin11100111110111…
…00100011000100
3121221111000000011
432133130203010
5444214440140
640043000004
76011344360
oct1637344304
9557430004
10243124420
11115267a80
1269509004
133b4a6006
142440a2a0
1516526cea
hexe7dc8c4

243124420 has 96 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 74144640.

The previous prime is 243124417. The next prime is 243124439. The reversal of 243124420 is 24421342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 243124391 and 243124400.

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, 70701 + ... + 74059.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2243124420 is an apocalyptic number.

243124420 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 243124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

243124420 is an abundant number, since it is smaller than the sum of its proper divisors (407156540).

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

243124420 is a wasteful number, since it uses less digits than its factorization.

243124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 243124420 is about 15592.4475307759. The cubic root of 243124420 is about 624.1316324593.

Adding to 243124420 its reverse (24421342), we get a palindrome (267545762).

The spelling of 243124420 in words is "two hundred forty-three million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3290 3359 3619 5170 6580 6718 7238 10340 13436 14476 16795 18095 23513 33590 36190 36949 47026 67180 72380 73898 94052 117565 147796 157873 184745 235130 258643 315746 369490 470260 517286 631492 738980 789365 1034572 1105111 1293215 1578730 1736603 2210222 2586430 3157460 3473206 4420444 5172860 5525555 6946412 8683015 11051110 12156221 17366030 22102220 24312442 34732060 48624884 60781105 121562210 243124420