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80303328 = 2532761653
BaseRepresentation
bin1001100100101…
…01010011100000
312121002211110100
410302111103200
5131024201303
611545102400
71663365330
oct462252340
9177084410
1080303328
1141369096
1222a87a00
1313838481
14a9450c0
1570b38a3
hex4c954e0

80303328 has 144 divisors (see below), whose sum is σ = 265670496. Its totient is φ = 22533120.

The previous prime is 80303309. The next prime is 80303339. The reversal of 80303328 is 82330308.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122650 + ... + 123302.

It is an arithmetic number, because the mean of its divisors is an integer number (1844934).

Almost surely, 280303328 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 80303328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132835248).

80303328 is an abundant number, since it is smaller than the sum of its proper divisors (185367168).

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

80303328 is a wasteful number, since it uses less digits than its factorization.

80303328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 80303328 is about 8961.2124179711. The cubic root of 80303328 is about 431.4308348095.

The spelling of 80303328 in words is "eighty million, three hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 183 224 244 252 288 336 366 427 488 504 549 653 672 732 854 976 1008 1098 1281 1306 1464 1708 1952 1959 2016 2196 2562 2612 2928 3416 3843 3918 4392 4571 5124 5224 5856 5877 6832 7686 7836 8784 9142 10248 10448 11754 13664 13713 15372 15672 17568 18284 20496 20896 23508 27426 30744 31344 36568 39833 40992 41139 47016 54852 61488 62688 73136 79666 82278 94032 109704 119499 122976 146272 159332 164556 188064 219408 238998 278831 318664 329112 358497 438816 477996 557662 637328 658224 716994 836493 955992 1115324 1274656 1316448 1433988 1672986 1911984 2230648 2509479 2867976 3345972 3823968 4461296 5018958 5735952 6691944 8922592 10037916 11471904 13383888 20075832 26767776 40151664 80303328