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241409280 = 2835721283
BaseRepresentation
bin11100110001110…
…01110100000000
3121211020212021110
432120321310000
5443300044110
635542123320
75660642100
oct1630716400
9554225243
10241409280
111142a6402
1268a20540
133b025438
14240c1200
15162d8a20
hexe639d00

241409280 has 216 divisors, whose sum is σ = 897577632. Its totient is φ = 55136256.

The previous prime is 241409263. The next prime is 241409339. The reversal of 241409280 is 82904142.

It is a super-3 number, since 3×2414092803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187519 + ... + 188801.

It is an arithmetic number, because the mean of its divisors is an integer number (4155452).

Almost surely, 2241409280 is an apocalyptic number.

241409280 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 241409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448788816).

241409280 is an abundant number, since it is smaller than the sum of its proper divisors (656168352).

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

241409280 is a wasteful number, since it uses less digits than its factorization.

241409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 241409280 is about 15537.3511255941. The cubic root of 241409280 is about 622.6605060219.

The spelling of 241409280 in words is "two hundred forty-one million, four hundred nine thousand, two hundred eighty".