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241338468 = 223753151359
BaseRepresentation
bin11100110001010…
…00100001100100
3121211010021010210
432120220201210
5443240312333
635540415420
75660225460
oct1630504144
9554107123
10241338468
11114258188
12689a7570
133accc137
14240a34a0
15162c2a63
hexe628864

241338468 has 96 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 67017600.

The previous prime is 241338451. The next prime is 241338469. The reversal of 241338468 is 864833142.

It is a happy number.

It is a super-3 number, since 3×2413384683 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (241338469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672073 + ... + 672431.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2241338468 is an apocalyptic number.

241338468 is a gapful number since it is divisible by the number (28) 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 241338468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

241338468 is an abundant number, since it is smaller than the sum of its proper divisors (420554652).

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

241338468 is a wasteful number, since it uses less digits than its factorization.

241338468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 241338468 is about 15535.0721916572. The cubic root of 241338468 is about 622.5996189017.

The spelling of 241338468 in words is "two hundred forty-one million, three hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 151 159 212 302 318 359 371 453 604 636 718 742 906 1057 1077 1113 1436 1484 1812 2114 2154 2226 2513 3171 4228 4308 4452 5026 6342 7539 8003 10052 12684 15078 16006 19027 24009 30156 32012 38054 48018 54209 56021 57081 76108 96036 108418 112042 114162 133189 162627 168063 216836 224084 228324 266378 325254 336126 379463 399567 532756 650508 672252 758926 799134 1138389 1517852 1598268 2276778 2873077 4553556 5746154 8619231 11492308 17238462 20111539 34476924 40223078 60334617 80446156 120669234 241338468