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2830303728 = 243371974751
BaseRepresentation
bin1010100010110011…
…0000000111110000
321022020201022211000
42220230300013300
521244024204403
61144503122000
7130065120240
oct25054600760
97266638730
102830303728
1112226a609a
1266ba43300
133614aa545
141cbc71b20
151187237a3
hexa8b301f0

2830303728 has 160 divisors (see below), whose sum is σ = 9333688320. Its totient is φ = 804384000.

The previous prime is 2830303717. The next prime is 2830303739. The reversal of 2830303728 is 8273030382.

2830303728 is a `hidden beast` number, since 283 + 0 + 3 + 0 + 372 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2830303717) and next prime (2830303739).

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 = 2830303692 and 2830303701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593353 + ... + 598103.

It is an arithmetic number, because the mean of its divisors is an integer number (58335552).

Almost surely, 22830303728 is an apocalyptic number.

2830303728 is a gapful number since it is divisible by the number (28) 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 2830303728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666844160).

2830303728 is an abundant number, since it is smaller than the sum of its proper divisors (6503384592).

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

2830303728 is a wasteful number, since it uses less digits than its factorization.

2830303728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2830303728 is about 53200.5989439969. The cubic root of 2830303728 is about 1414.5262604360.

The spelling of 2830303728 in words is "two billion, eight hundred thirty million, three hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 197 216 252 336 378 394 432 504 591 756 788 1008 1182 1379 1512 1576 1773 2364 2758 3024 3152 3546 4137 4728 4751 5319 5516 7092 8274 9456 9502 10638 11032 12411 14184 14253 16548 19004 21276 22064 24822 28368 28506 33096 33257 37233 38008 42552 42759 49644 57012 66192 66514 74466 76016 85104 85518 99288 99771 114024 128277 133028 148932 171036 198576 199542 228048 256554 266056 297864 299313 342072 399084 513108 532112 595728 598626 684144 798168 897939 935947 1026216 1197252 1596336 1795878 1871894 2052432 2394504 2807841 3591756 3743788 4789008 5615682 6551629 7183512 7487576 8423523 11231364 13103258 14367024 14975152 16847046 19654887 22462728 25270569 26206516 33694092 39309774 44925456 50541138 52413032 58964661 67388184 78619548 101082276 104826064 117929322 134776368 157239096 176893983 202164552 235858644 314478192 353787966 404329104 471717288 707575932 943434576 1415151864 2830303728