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241073424 = 24321739677
BaseRepresentation
bin11100101111001…
…11110100010000
3121210121210120100
432113213310100
5443203322144
635531012400
75655042654
oct1627476420
9553553510
10241073424
11114097039
126889a100
133ac385c7
1424034a64
151626e269
hexe5e7d10

241073424 has 60 divisors (see below), whose sum is σ = 678640716. Its totient is φ = 79885056.

The previous prime is 241073423. The next prime is 241073449. The reversal of 241073424 is 424370142.

It can be written as a sum of positive squares in 2 ways, for example, as 195105024 + 45968400 = 13968^2 + 6780^2 .

It is not an unprimeable number, because it can be changed into a prime (241073423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20074 + ... + 29750.

Almost surely, 2241073424 is an apocalyptic number.

241073424 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 241073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339320358).

241073424 is an abundant number, since it is smaller than the sum of its proper divisors (437567292).

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

241073424 is a wasteful number, since it uses less digits than its factorization.

241073424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9864 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 241073424 is about 15526.5393439749. The cubic root of 241073424 is about 622.3716172077.

The spelling of 241073424 in words is "two hundred forty-one million, seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 9677 12456 19354 24912 29031 38708 58062 77416 87093 116124 154832 174186 232248 348372 464496 696744 1393488 1674121 3348242 5022363 6696484 10044726 13392968 15067089 20089452 26785936 30134178 40178904 60268356 80357808 120536712 241073424