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447243342 = 237137183139
BaseRepresentation
bin11010101010000…
…110010001001110
31011011120022112020
4122222012101032
51403443241332
6112213551010
714040335310
oct3252062116
91134508466
10447243342
1120a5035a7
12105945466
1371873040
14435817b0
15293e682c
hex1aa8644e

447243342 has 128 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 114065280.

The previous prime is 447243341. The next prime is 447243343. The reversal of 447243342 is 243342744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447243341) and next prime (447243343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447243341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3217509 + ... + 3217647.

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

Almost surely, 2447243342 is an apocalyptic number.

447243342 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 447243342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

447243342 is an abundant number, since it is smaller than the sum of its proper divisors (690748338).

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

447243342 is a wasteful number, since it uses less digits than its factorization.

447243342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its digits is 64512, while the sum is 33.

The square root of 447243342 is about 21148.1285696867. The cubic root of 447243342 is about 764.7414462223.

The spelling of 447243342 in words is "four hundred forty-seven million, two hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 71 78 83 91 139 142 166 182 213 249 273 278 417 426 497 498 546 581 834 923 973 994 1079 1162 1491 1743 1807 1846 1946 2158 2769 2919 2982 3237 3486 3614 5421 5538 5838 5893 6461 6474 7553 9869 10842 11537 11786 12649 12922 15106 17679 19383 19738 22659 23074 25298 29607 34611 35358 37947 38766 41251 45318 59214 69083 69222 75894 76609 80759 82502 123753 128297 138166 149981 153218 161518 207249 229827 242277 247506 256594 299962 384891 414498 449943 459654 484554 536263 769782 819127 898079 899886 1049867 1072526 1608789 1638254 1796158 2099734 2457381 2694237 3149601 3217578 4914762 5388474 5733889 6299202 10648651 11467778 17201667 21297302 31945953 34403334 63891906 74540557 149081114 223621671 447243342