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81347328 = 28343923
BaseRepresentation
bin1001101100101…
…00001100000000
312200001212120000
410312110030000
5131311103303
612023320000
72005304136
oct466241400
9180055500
1081347328
1141a114a7
12232b0000
1313b1271a
14ab37756
15721cda3
hex4d94300

81347328 has 90 divisors (see below), whose sum is σ = 242624844. Its totient is φ = 27108864.

The previous prime is 81347323. The next prime is 81347339. The reversal of 81347328 is 82374318.

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

It is a junction number, because it is equal to n+sod(n) for n = 81347292 and 81347301.

It is not an unprimeable number, because it can be changed into a prime (81347323) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18775 + ... + 22697.

Almost surely, 281347328 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 81347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121312422).

81347328 is an abundant number, since it is smaller than the sum of its proper divisors (161277516).

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

81347328 is an equidigital number, since it uses as much as digits as its factorization.

81347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3928 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 81347328 is about 9019.2753589188. The cubic root of 81347328 is about 433.2924258557.

The spelling of 81347328 in words is "eighty-one million, three hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 3923 5184 6912 7846 10368 11769 15692 20736 23538 31384 35307 47076 62768 70614 94152 105921 125536 141228 188304 211842 251072 282456 317763 376608 423684 502144 564912 635526 753216 847368 1004288 1129824 1271052 1506432 1694736 2259648 2542104 3012864 3389472 4519296 5084208 6778944 9038592 10168416 13557888 20336832 27115776 40673664 81347328