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80344368 = 243213167257
BaseRepresentation
bin1001100100111…
…11010100110000
312121011220202100
410302133110300
5131032004433
611550020400
71663626066
oct462372460
9177156670
1080344368
1141396a05
1222aa7700
1313851060
14a956036
1570c0b13
hex4c9f530

80344368 has 120 divisors (see below), whose sum is σ = 244546848. Its totient is φ = 24477696.

The previous prime is 80344367. The next prime is 80344373. The reversal of 80344368 is 86344308.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (80344367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 312496 + ... + 312752.

Almost surely, 280344368 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 80344368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122273424).

80344368 is an abundant number, since it is smaller than the sum of its proper divisors (164202480).

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

80344368 is a wasteful number, since it uses less digits than its factorization.

80344368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 80344368 is about 8963.5019941985. The cubic root of 80344368 is about 431.5043182980.

It can be divided in two parts, 80344 and 368, that multiplied together give a palindrome (29566592).

The spelling of 80344368 in words is "eighty million, three hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 167 208 234 257 312 334 468 501 514 624 668 771 936 1002 1028 1336 1503 1542 1872 2004 2056 2171 2313 2672 3006 3084 3341 4008 4112 4342 4626 6012 6168 6513 6682 8016 8684 9252 10023 12024 12336 13026 13364 17368 18504 19539 20046 24048 26052 26728 30069 34736 37008 39078 40092 42919 52104 53456 60138 78156 80184 85838 104208 120276 128757 156312 160368 171676 240552 257514 312624 343352 386271 481104 515028 557947 686704 772542 1030056 1115894 1545084 1673841 2060112 2231788 3090168 3347682 4463576 5021523 6180336 6695364 8927152 10043046 13390728 20086092 26781456 40172184 80344368