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440410068 = 223374391327
BaseRepresentation
bin11010010000000…
…001111111010100
31010200201011001000
4122100001333110
51400221110233
6111411303300
713625265240
oct3220017724
91120634030
10440410068
1120666666a
121035aab30
137031c997
14426c3420
15289e6d13
hex1a401fd4

440410068 has 96 divisors (see below), whose sum is σ = 1308876800. Its totient is φ = 125450208.

The previous prime is 440410027. The next prime is 440410097. The reversal of 440410068 is 860014044.

It is a super-2 number, since 2×4404100682 = 387922055991529248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 331221 + ... + 332547.

Almost surely, 2440410068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440410068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654438400).

440410068 is an abundant number, since it is smaller than the sum of its proper divisors (868466732).

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

440410068 is a wasteful number, since it uses less digits than its factorization.

440410068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 440410068 is about 20985.9492994718. The cubic root of 440410068 is about 760.8267019855.

The spelling of 440410068 in words is "four hundred forty million, four hundred ten thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 439 756 878 1317 1327 1756 2634 2654 3073 3951 3981 5268 5308 6146 7902 7962 9219 9289 11853 11943 12292 15804 15924 18438 18578 23706 23886 27657 27867 35829 36876 37156 47412 47772 55314 55734 71658 82971 83601 110628 111468 143316 165942 167202 250803 331884 334404 501606 582553 1003212 1165106 1747659 2330212 3495318 4077871 5242977 6990636 8155742 10485954 12233613 15728931 16311484 20971908 24467226 31457862 36700839 48934452 62915724 73401678 110102517 146803356 220205034 440410068