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241442880 = 26357193161
BaseRepresentation
bin11100110010000…
…10000001000000
3121211022120100220
432121002001000
5443302133010
635542543040
75661142050
oct1631020100
9554276326
10241442880
11114319678
1268a37a80
133b037813
14240cd560
15162e3970
hexe642040

241442880 has 448 divisors, whose sum is σ = 967557120. Its totient is φ = 49766400.

The previous prime is 241442863. The next prime is 241442917. The reversal of 241442880 is 88244142.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3958050 + ... + 3958110.

Almost surely, 2241442880 is an apocalyptic number.

241442880 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 241442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483778560).

241442880 is an abundant number, since it is smaller than the sum of its proper divisors (726114240).

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

241442880 is a wasteful number, since it uses less digits than its factorization.

241442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 241442880 is about 15538.4323533618. The cubic root of 241442880 is about 622.6893925426.

The spelling of 241442880 in words is "two hundred forty-one million, four hundred forty-two thousand, eight hundred eighty".