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241442320 = 2457431147
BaseRepresentation
bin11100110010000…
…01111000010000
3121211022112121011
432121001320100
5443302123240
635542540304
75661140320
oct1631017020
9554275534
10241442320
11114319209
1268a37694
133b0374a2
14240cd280
15162e36ea
hexe641e10

241442320 has 40 divisors (see below), whose sum is σ = 641548224. Its totient is φ = 82780032.

The previous prime is 241442297. The next prime is 241442351. The reversal of 241442320 is 23244142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 241442291 and 241442300.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 215014 + ... + 216133.

Almost surely, 2241442320 is an apocalyptic number.

241442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241442320 is an abundant number, since it is smaller than the sum of its proper divisors (400105904).

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

241442320 is a wasteful number, since it uses less digits than its factorization.

241442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431167 (or 431161 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 241442320 is about 15538.4143335155. The cubic root of 241442320 is about 622.6889111225.

Adding to 241442320 its reverse (23244142), we get a palindrome (264686462).

The spelling of 241442320 in words is "two hundred forty-one million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 431147 862294 1724588 2155735 3018029 3449176 4311470 6036058 6898352 8622940 12072116 15090145 17245880 24144232 30180290 34491760 48288464 60360580 120721160 241442320