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241340232 = 23378916141
BaseRepresentation
bin11100110001010…
…00111101001000
3121211010100120010
432120220331020
5443240341412
635540431520
75660233560
oct1630507510
9554110503
10241340232
11114259541
12689a85a0
133acccb93
14240a3da0
15162c333c
hexe628f48

241340232 has 64 divisors (see below), whose sum is σ = 697334400. Its totient is φ = 68175360.

The previous prime is 241340221. The next prime is 241340251. The reversal of 241340232 is 232043142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 241340199 and 241340208.

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 15 ways as a sum of consecutive naturals, for example, 6882 + ... + 23022.

It is an arithmetic number, because the mean of its divisors is an integer number (10895850).

Almost surely, 2241340232 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 241340232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348667200).

241340232 is an abundant number, since it is smaller than the sum of its proper divisors (455994168).

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

241340232 is a wasteful number, since it uses less digits than its factorization.

241340232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 241340232 is about 15535.1289663137. The cubic root of 241340232 is about 622.6011358073.

Adding to 241340232 its reverse (232043142), we get a palindrome (473383374).

The spelling of 241340232 in words is "two hundred forty-one million, three hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4984 7476 14952 16141 32282 48423 64564 96846 112987 129128 193692 225974 338961 387384 451948 677922 903896 1355844 1436549 2711688 2873098 4309647 5746196 8619294 10055843 11492392 17238588 20111686 30167529 34477176 40223372 60335058 80446744 120670116 241340232