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80329440 = 25351131481
BaseRepresentation
bin1001100100110…
…11101011100000
312121011011021110
410302123223200
5131031020230
611545423320
71663534422
oct462335340
9177134243
1080329440
1141386774
1222a9ab40
1313847319
14a950812
1570bb4b0
hex4c9bae0

80329440 has 96 divisors (see below), whose sum is σ = 255449376. Its totient is φ = 21217280.

The previous prime is 80329427. The next prime is 80329451. The reversal of 80329440 is 4492308.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 80329398 and 80329407.

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 15 ways as a sum of consecutive naturals, for example, 53500 + ... + 54980.

It is an arithmetic number, because the mean of its divisors is an integer number (2660931).

Almost surely, 280329440 is an apocalyptic number.

80329440 is a gapful number since it is divisible by the number (80) 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 80329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127724688).

80329440 is an abundant number, since it is smaller than the sum of its proper divisors (175119936).

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

80329440 is a wasteful number, since it uses less digits than its factorization.

80329440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 80329440 is about 8962.6692452639. The cubic root of 80329440 is about 431.4775921125.

The spelling of 80329440 in words is "eighty million, three hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1481 1695 1808 2260 2712 2962 3390 3616 4443 4520 5424 5924 6780 7405 8886 9040 10848 11848 13560 14810 17772 18080 22215 23696 27120 29620 35544 44430 47392 54240 59240 71088 88860 118480 142176 167353 177720 236960 334706 355440 502059 669412 710880 836765 1004118 1338824 1673530 2008236 2510295 2677648 3347060 4016472 5020590 5355296 6694120 8032944 10041180 13388240 16065888 20082360 26776480 40164720 80329440