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241031424 = 2831571999
BaseRepresentation
bin11100101110111…
…01100100000000
3121210112122221210
432113131210000
5443201001144
635530050120
75654506344
oct1627354400
9553478853
10241031424
11114068527
1268879940
133ac2245a
1424023624
1516261ab9
hexe5dd900

241031424 has 72 divisors (see below), whose sum is σ = 645904000. Its totient is φ = 79792128.

The previous prime is 241031411. The next prime is 241031437. The reversal of 241031424 is 424130142.

It is an interprime number because it is at equal distance from previous prime (241031411) and next prime (241031437).

It is a super-2 number, since 2×2410314242 = 116192294710935552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241031424.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 119577 + ... + 121575.

Almost surely, 2241031424 is an apocalyptic number.

241031424 is a gapful number since it is divisible by the number (24) 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 241031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322952000).

241031424 is an abundant number, since it is smaller than the sum of its proper divisors (404872576).

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

241031424 is a wasteful number, since it uses less digits than its factorization.

241031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 241031424 is about 15525.1867621617. The cubic root of 241031424 is about 622.3354717522.

Adding to 241031424 its reverse (424130142), we get a palindrome (665161566).

The spelling of 241031424 in words is "two hundred forty-one million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 628 768 942 1256 1884 1999 2512 3768 3998 5024 5997 7536 7996 10048 11994 15072 15992 20096 23988 30144 31984 40192 47976 60288 63968 95952 120576 127936 191904 255872 313843 383808 511744 627686 767616 941529 1255372 1535232 1883058 2510744 3766116 5021488 7532232 10042976 15064464 20085952 30128928 40171904 60257856 80343808 120515712 241031424