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80640384 = 27311171123
BaseRepresentation
bin1001100111001…
…11100110000000
312121201221210220
410303213212000
5131120443014
612000223040
71666301106
oct463474600
9177657726
1080640384
1141579350
122300aa80
1313925a06
14a9d1c76
15712d6a9
hex4ce7980

80640384 has 128 divisors (see below), whose sum is σ = 247639680. Its totient is φ = 22978560.

The previous prime is 80640383. The next prime is 80640397. The reversal of 80640384 is 48304608.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80640383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71247 + ... + 72369.

It is an arithmetic number, because the mean of its divisors is an integer number (1934685).

Almost surely, 280640384 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 80640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123819840).

80640384 is an abundant number, since it is smaller than the sum of its proper divisors (166999296).

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

80640384 is a wasteful number, since it uses less digits than its factorization.

80640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 80640384 is about 8979.9991091314. Note that the first 3 decimals coincide. The cubic root of 80640384 is about 432.0336050676.

The spelling of 80640384 in words is "eighty million, six hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1123 1408 1496 1632 2112 2176 2244 2246 2992 3264 3369 4224 4488 4492 5984 6528 6738 8976 8984 11968 12353 13476 17952 17968 19091 23936 24706 26952 35904 35936 37059 38182 49412 53904 57273 71808 71872 74118 76364 98824 107808 114546 143744 148236 152728 197648 210001 215616 229092 296472 305456 395296 420002 431232 458184 592944 610912 630003 790592 840004 916368 1185888 1221824 1260006 1581184 1680008 1832736 2371776 2443648 2520012 3360016 3665472 4743552 5040024 6720032 7330944 10080048 13440064 20160096 26880128 40320192 80640384