Search a number
-
+
42434304 = 283115023
BaseRepresentation
bin1010000111011…
…1111100000000
32221211212220220
42201313330000
541330344204
64113303040
71023454113
oct241677400
987755826
1042434304
1121a53580
1212264a80
138a39873
1458c857a
153ad31d9
hex2877f00

42434304 has 72 divisors (see below), whose sum is σ = 123228672. Its totient is φ = 12856320.

The previous prime is 42434269. The next prime is 42434309. The reversal of 42434304 is 40343424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5937 + ... + 10959.

Almost surely, 242434304 is an apocalyptic number.

42434304 is a gapful number since it is divisible by the number (44) 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 42434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61614336).

42434304 is an abundant number, since it is smaller than the sum of its proper divisors (80794368).

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

42434304 is a wasteful number, since it uses less digits than its factorization.

42434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 42434304 is about 6514.1618033328. The cubic root of 42434304 is about 348.7966949719.

Adding to 42434304 its reverse (40343424), we get a palindrome (82777728).

The spelling of 42434304 in words is "forty-two million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 5023 8448 10046 15069 20092 30138 40184 55253 60276 80368 110506 120552 160736 165759 221012 241104 321472 331518 442024 482208 642944 663036 884048 964416 1285888 1326072 1768096 1928832 2652144 3536192 3857664 5304288 7072384 10608576 14144768 21217152 42434304