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642341124 = 223317893931
BaseRepresentation
bin100110010010010…
…101100100000100
31122202200022101000
4212102111210010
52303414403444
6143423333300
721626544435
oct4622254404
91582608330
10642341124
112aa648437
1215b151230
13a3101c09
146144948c
153b5d3469
hex26495904

642341124 has 96 divisors (see below), whose sum is σ = 1783555200. Its totient is φ = 199203840.

The previous prime is 642341123. The next prime is 642341149. The reversal of 642341124 is 421143246.

It is a happy number.

642341124 is a `hidden beast` number, since 642 + 3 + 4 + 1 + 12 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (642341123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 161439 + ... + 165369.

It is an arithmetic number, because the mean of its divisors is an integer number (18578700).

Almost surely, 2642341124 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 642341124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891777600).

642341124 is an abundant number, since it is smaller than the sum of its proper divisors (1141214076).

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

642341124 is a wasteful number, since it uses less digits than its factorization.

642341124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4042 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 642341124 is about 25344.4495698762. The cubic root of 642341124 is about 862.8233887512.

The spelling of 642341124 in words is "six hundred forty-two million, three hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 89 102 108 153 178 204 267 306 356 459 534 612 801 918 1068 1513 1602 1836 2403 3026 3204 3931 4539 4806 6052 7862 9078 9612 11793 13617 15724 18156 23586 27234 35379 40851 47172 54468 66827 70758 81702 106137 133654 141516 163404 200481 212274 267308 349859 400962 424548 601443 699718 801924 1049577 1202886 1399436 1804329 2099154 2405772 3148731 3608658 4198308 5947603 6297462 7217316 9446193 11895206 12594924 17842809 18892386 23790412 35685618 37784772 53528427 71371236 107056854 160585281 214113708 321170562 642341124