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99534312 = 23331979307
BaseRepresentation
bin1011110111011…
…00010111101000
320221021212102000
411323230113220
5200440044222
613513211000
72316012333
oct573542750
9227255360
1099534312
1151203669
1229400a60
131780c857
14d30d61a
158b119ac
hex5eec5e8

99534312 has 128 divisors (see below), whose sum is σ = 295680000. Its totient is φ = 30932928.

The previous prime is 99534311. The next prime is 99534343. The reversal of 99534312 is 21343599.

It is a happy number.

99534312 is a `hidden beast` number, since 99 + 534 + 31 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (99534311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324063 + ... + 324369.

It is an arithmetic number, because the mean of its divisors is an integer number (2310000).

Almost surely, 299534312 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 99534312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840000).

99534312 is an abundant number, since it is smaller than the sum of its proper divisors (196145688).

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

99534312 is a wasteful number, since it uses less digits than its factorization.

99534312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 99534312 is about 9976.6884285318. The cubic root of 99534312 is about 463.4372512744.

The spelling of 99534312 in words is "ninety-nine million, five hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 108 114 152 158 171 216 228 237 307 316 342 456 474 513 614 632 684 711 921 948 1026 1228 1368 1422 1501 1842 1896 2052 2133 2456 2763 2844 3002 3684 4104 4266 4503 5526 5688 5833 6004 7368 8289 8532 9006 11052 11666 12008 13509 16578 17064 17499 18012 22104 23332 24253 27018 33156 34998 36024 40527 46664 48506 52497 54036 66312 69996 72759 81054 97012 104994 108072 139992 145518 157491 162108 194024 209988 218277 291036 314982 324216 419976 436554 460807 582072 629964 654831 873108 921614 1259928 1309662 1382421 1746216 1843228 2619324 2764842 3686456 4147263 5238648 5529684 8294526 11059368 12441789 16589052 24883578 33178104 49767156 99534312