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440411412 = 223721979499
BaseRepresentation
bin11010010000000…
…010010100010100
31010200201012212210
4122100002110110
51400221131122
6111411313420
713625302200
oct3220022424
91120635783
10440411412
11206667681
121035ab870
137032048c
14426c3b00
15289e740c
hex1a402514

440411412 has 144 divisors (see below), whose sum is σ = 1276800000. Its totient is φ = 117464256.

The previous prime is 440411351. The next prime is 440411453. The reversal of 440411412 is 214114044.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882339 + ... + 882837.

Almost surely, 2440411412 is an apocalyptic number.

440411412 is a gapful number since it is divisible by the number (42) 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 440411412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400000).

440411412 is an abundant number, since it is smaller than the sum of its proper divisors (836388588).

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

440411412 is a wasteful number, since it uses less digits than its factorization.

440411412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 440411412 is about 20985.9813208723. The cubic root of 440411412 is about 760.8274759234.

Adding to 440411412 its reverse (214114044), we get a palindrome (654525456).

The spelling of 440411412 in words is "four hundred forty million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 79 84 98 114 133 147 158 196 228 237 266 294 316 399 474 499 532 553 588 798 931 948 998 1106 1497 1501 1596 1659 1862 1996 2212 2793 2994 3002 3318 3493 3724 3871 4503 5586 5988 6004 6636 6986 7742 9006 9481 10479 10507 11172 11613 13972 15484 18012 18962 20958 21014 23226 24451 28443 31521 37924 39421 41916 42028 46452 48902 56886 63042 66367 73353 73549 78842 97804 113772 118263 126084 132734 146706 147098 157684 199101 220647 236526 265468 275947 293412 294196 398202 441294 464569 473052 551894 748999 796404 827841 882588 929138 1103788 1393707 1497998 1655682 1858276 1931629 2246997 2787414 2995996 3311364 3863258 4493994 5242993 5574828 5794887 7726516 8987988 10485986 11589774 15728979 20971972 23179548 31457958 36700951 62915916 73401902 110102853 146803804 220205706 440411412