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80347280 = 24513233359
BaseRepresentation
bin1001100101000…
…00000010010000
312121012001202012
410302200002100
5131032103110
611550042052
71663640426
oct462400220
9177161665
1080347280
1141399112
1222aa9328
1313852490
14a957116
1570c1905
hex4ca0090

80347280 has 80 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 28368384.

The previous prime is 80347273. The next prime is 80347283. The reversal of 80347280 is 8274308.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (80347283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22241 + ... + 25599.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 280347280 is an apocalyptic number.

80347280 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 80347280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

80347280 is an abundant number, since it is smaller than the sum of its proper divisors (129639280).

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

80347280 is a wasteful number, since it uses less digits than its factorization.

80347280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 80347280 is about 8963.6644292387. The cubic root of 80347280 is about 431.5095313802.

It can be divided in two parts, 8034 and 7280, that multiplied together give a triangular number (58487520 = T10815).

The spelling of 80347280 in words is "eighty million, three hundred forty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 3359 4784 5980 6718 11960 13436 16795 23920 26872 33590 43667 53744 67180 77257 87334 134360 154514 174668 218335 268720 309028 349336 386285 436670 618056 698672 772570 873340 1004341 1236112 1545140 1746680 2008682 3090280 3493360 4017364 5021705 6180560 8034728 10043410 16069456 20086820 40173640 80347280