Search a number
-
+
42142344 = 2333974423
BaseRepresentation
bin1010000011000…
…0101010001000
32221022001102120
42200300222020
541242023334
64103131240
71021126656
oct240605210
987261376
1042142344
1121874192
1212143b20
1389669ca
14584ddd6
153a76949
hex2830a88

42142344 has 32 divisors (see below), whose sum is σ = 105645120. Its totient is φ = 14008896.

The previous prime is 42142339. The next prime is 42142357. The reversal of 42142344 is 44324124.

It is a happy number.

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

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 7 ways as a sum of consecutive naturals, for example, 7317 + ... + 11739.

It is an arithmetic number, because the mean of its divisors is an integer number (3301410).

Almost surely, 242142344 is an apocalyptic number.

It is an amenable number.

42142344 is an abundant number, since it is smaller than the sum of its proper divisors (63502776).

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

42142344 is a wasteful number, since it uses less digits than its factorization.

42142344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4825 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 42142344 is about 6491.7134872081. The cubic root of 42142344 is about 347.9949133885.

Adding to 42142344 its reverse (44324124), we get a palindrome (86466468).

It can be divided in two parts, 42142 and 344, that added together give a triangular number (42486 = T291).

The spelling of 42142344 in words is "forty-two million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 397 794 1191 1588 2382 3176 4423 4764 8846 9528 13269 17692 26538 35384 53076 106152 1755931 3511862 5267793 7023724 10535586 14047448 21071172 42142344