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441334494 = 2346773557
BaseRepresentation
bin11010010011100…
…011101011011110
31010202110010010000
4122103203223132
51400440200434
6111443155130
713636165326
oct3223435336
91122403100
10441334494
11207138157
12103975aa6
1370584693
1442884286
1528b2ab99
hex1a4e3ade

441334494 has 80 divisors (see below), whose sum is σ = 1019251728. Its totient is φ = 142674048.

The previous prime is 441334493. The next prime is 441334513. The reversal of 441334494 is 494433144.

It is a super-2 number, since 2×4413344942 = 389552271188472072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441334493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 792064 + ... + 792620.

Almost surely, 2441334494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441334494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509625864).

441334494 is an abundant number, since it is smaller than the sum of its proper divisors (577917234).

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

441334494 is a wasteful number, since it uses less digits than its factorization.

441334494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 441334494 is about 21007.9626332493. The cubic root of 441334494 is about 761.3586580805.

The spelling of 441334494 in words is "four hundred forty-one million, three hundred thirty-four thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 67 73 81 134 146 162 201 219 402 438 557 603 657 1114 1206 1314 1671 1809 1971 3342 3618 3942 4891 5013 5427 5913 9782 10026 10854 11826 14673 15039 29346 30078 37319 40661 44019 45117 74638 81322 88038 90234 111957 121983 132057 223914 243966 264114 335871 365949 396171 671742 731898 792342 1007613 1097847 2015226 2195694 2724287 3022839 3293541 5448574 6045678 6587082 8172861 16345722 24518583 49037166 73555749 147111498 220667247 441334494