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441042240 = 2635676857
BaseRepresentation
bin11010010010011…
…100010101000000
31010201220021012210
4122102130111000
51400401322430
6111433022120
713633540302
oct3222342500
91121807183
10441042240
11206a58621
12103854940
13704b1652
1442809972
1528abe2b0
hex1a49c540

441042240 has 112 divisors (see below), whose sum is σ = 1421416512. Its totient is φ = 115838976.

The previous prime is 441042229. The next prime is 441042241. The reversal of 441042240 is 42240144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441042241) 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 15 ways as a sum of consecutive naturals, for example, 60892 + ... + 67748.

Almost surely, 2441042240 is an apocalyptic number.

441042240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710708256).

441042240 is an abundant number, since it is smaller than the sum of its proper divisors (980374272).

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

441042240 is a wasteful number, since it uses less digits than its factorization.

441042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 441042240 is about 21001.0056902045. The cubic root of 441042240 is about 761.1905624145.

Adding to 441042240 its reverse (42240144), we get a palindrome (483282384).

The spelling of 441042240 in words is "four hundred forty-one million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 6857 8040 10720 12864 13714 16080 20571 21440 27428 32160 34285 41142 54856 64320 68570 82284 102855 109712 137140 164568 205710 219424 274280 329136 411420 438848 459419 548560 658272 822840 918838 1097120 1316544 1378257 1645680 1837676 2194240 2297095 2756514 3291360 3675352 4594190 5513028 6582720 6891285 7350704 9188380 11026056 13782570 14701408 18376760 22052112 27565140 29402816 36753520 44104224 55130280 73507040 88208448 110260560 147014080 220521120 441042240