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641348442 = 2357533557
BaseRepresentation
bin100110001110100…
…011001101011010
31122200210212200000
4212032203031122
52303141122232
6143350153430
721615241350
oct4616431532
91580725600
10641348442
112aa02a639
1215a952876
13a2b45127
146126b7d0
153b48927c
hex263a335a

641348442 has 96 divisors (see below), whose sum is σ = 1678465152. Its totient is φ = 179734464.

The previous prime is 641348441. The next prime is 641348459. The reversal of 641348442 is 244843146.

641348442 is a `hidden beast` number, since 641 + 3 + 4 + 8 + 4 + 4 + 2 = 666.

641348442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6413484422 = 822655648111654728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641348397 and 641348406.

It is not an unprimeable number, because it can be changed into a prime (641348441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178528 + ... + 182084.

It is an arithmetic number, because the mean of its divisors is an integer number (17484012).

Almost surely, 2641348442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641348442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839232576).

641348442 is an abundant number, since it is smaller than the sum of its proper divisors (1037116710).

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

641348442 is a wasteful number, since it uses less digits than its factorization.

641348442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3622 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 641348442 is about 25324.8581832160. The cubic root of 641348442 is about 862.3786869075.

The spelling of 641348442 in words is "six hundred forty-one million, three hundred forty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 81 106 126 159 162 189 243 318 371 378 477 486 567 742 954 1113 1134 1431 1701 2226 2862 3339 3402 3557 4293 6678 7114 8586 10017 10671 12879 20034 21342 24899 25758 30051 32013 49798 60102 64026 74697 90153 96039 149394 180306 188521 192078 224091 288117 377042 448182 565563 576234 672273 864351 1131126 1319647 1344546 1696689 1728702 2016819 2639294 3393378 3958941 4033638 5090067 6050457 7917882 10180134 11876823 12100914 15270201 23753646 30540402 35630469 45810603 71260938 91621206 106891407 213782814 320674221 641348442