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42414330 = 2357201973
BaseRepresentation
bin1010000111001…
…1000011111010
32221210212112010
42201303003322
541324224310
64113030350
71023341640
oct241630372
987725463
1042414330
1121a3a572
12122553b6
138a3074a
1458c1190
153acc320
hex28730fa

42414330 has 32 divisors (see below), whose sum is σ = 116337024. Its totient is φ = 9694656.

The previous prime is 42414311. The next prime is 42414331. The reversal of 42414330 is 3341424.

42414330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42414297 and 42414306.

It is not an unprimeable number, because it can be changed into a prime (42414331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100777 + ... + 101196.

It is an arithmetic number, because the mean of its divisors is an integer number (3635532).

Almost surely, 242414330 is an apocalyptic number.

42414330 is an abundant number, since it is smaller than the sum of its proper divisors (73922694).

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

42414330 is a wasteful number, since it uses less digits than its factorization.

42414330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201990.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42414330 is about 6512.6285016113. The cubic root of 42414330 is about 348.7419597072.

Adding to 42414330 its reverse (3341424), we get a palindrome (45755754).

The spelling of 42414330 in words is "forty-two million, four hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 201973 403946 605919 1009865 1211838 1413811 2019730 2827622 3029595 4241433 6059190 7069055 8482866 14138110 21207165 42414330