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440412 = 22373107
BaseRepresentation
bin1101011100001011100
3211101010120
41223201130
5103043122
613234540
73513000
oct1534134
9741116
10440412
11280985
12192a50
131255cb
14b6700
158a75c
hex6b85c

440412 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 124656.

The previous prime is 440399. The next prime is 440431. The reversal of 440412 is 214044.

It is a junction number, because it is equal to n+sod(n) for n = 440391 and 440400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4063 + ... + 4169.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2440412 is an apocalyptic number.

440412 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 440412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

440412 is an abundant number, since it is smaller than the sum of its proper divisors (769188).

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

440412 is a wasteful number, since it uses less digits than its factorization.

440412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 440412 is about 663.6354420915. The cubic root of 440412 is about 76.0827814521.

Adding to 440412 its reverse (214044), we get a palindrome (654456).

The spelling of 440412 in words is "four hundred forty thousand, four hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 343 428 588 642 686 749 1029 1284 1372 1498 2058 2247 2996 4116 4494 5243 8988 10486 15729 20972 31458 36701 62916 73402 110103 146804 220206 440412