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441552342 = 237115997167
BaseRepresentation
bin11010010100011…
…000110111010110
31010202212011221110
4122110120313112
51401014133332
6111451555450
713641063420
oct3224306726
91122764843
10441552342
112072768a0
12103a5bb86
137062c89a
14428dd810
1528b704cc
hex1a518dd6

441552342 has 128 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 110914560.

The previous prime is 441552341. The next prime is 441552361. The reversal of 441552342 is 243255144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441552341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2643943 + ... + 2644109.

It is an arithmetic number, because the mean of its divisors is an integer number (8890560).

Almost surely, 2441552342 is an apocalyptic number.

441552342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 441552342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

441552342 is an abundant number, since it is smaller than the sum of its proper divisors (696439338).

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

441552342 is a wasteful number, since it uses less digits than its factorization.

441552342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346.

The product of its digits is 19200, while the sum is 30.

The square root of 441552342 is about 21013.1468847481. The cubic root of 441552342 is about 761.4839093963.

The spelling of 441552342 in words is "four hundred forty-one million, five hundred fifty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 97 118 154 167 177 194 231 291 334 354 413 462 501 582 649 679 826 1002 1067 1169 1239 1298 1358 1837 1947 2037 2134 2338 2478 3201 3507 3674 3894 4074 4543 5511 5723 6402 7014 7469 9086 9853 11022 11446 12859 13629 14938 16199 17169 19706 22407 25718 27258 29559 32398 34338 38577 40061 44814 48597 59118 62953 68971 77154 80122 97194 108383 113393 120183 125906 137942 178189 188859 206913 216766 226786 240366 325149 340179 356378 377718 413826 440671 534567 650298 680358 758681 881342 955741 1069134 1247323 1322013 1517362 1911482 2276043 2494646 2644026 2867223 3741969 4552086 5734446 6690187 7483938 10513151 13380374 20070561 21026302 31539453 40141122 63078906 73592057 147184114 220776171 441552342