Search a number
-
+
42337344 = 2637172109
BaseRepresentation
bin1010000110000…
…0010001000000
32221122221220210
42201200101000
541314243334
64111234120
71022601330
oct241402100
987587823
1042337344
1121997745
1212218940
138a046aa
1458a10c0
153ab45e9
hex2860440

42337344 has 168 divisors, whose sum is σ = 137241280. Its totient is φ = 11280384.

The previous prime is 42337331. The next prime is 42337369. The reversal of 42337344 is 44373324.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 388362 + ... + 388470.

Almost surely, 242337344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68620640).

42337344 is an abundant number, since it is smaller than the sum of its proper divisors (94903936).

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

42337344 is a wasteful number, since it uses less digits than its factorization.

42337344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 24192, while the sum is 30.

The square root of 42337344 is about 6506.7153003647. The cubic root of 42337344 is about 348.5308320927.

The spelling of 42337344 in words is "forty-two million, three hundred thirty-seven thousand, three hundred forty-four".