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303828252 = 2237132312097
BaseRepresentation
bin10010000111000…
…000110100011100
3210011201002000020
4102013000310130
51110240001002
650052032140
710346332440
oct2207006434
9704632006
10303828252
11146559732
1285902650
134ac3b440
142c4cc820
151ba182bc
hex121c0d1c

303828252 has 96 divisors (see below), whose sum is σ = 910543872. Its totient is φ = 76640256.

The previous prime is 303828247. The next prime is 303828253. The reversal of 303828252 is 252828303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303828253) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19068 + ... + 31164.

It is an arithmetic number, because the mean of its divisors is an integer number (9484832).

Almost surely, 2303828252 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 303828252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455271936).

303828252 is an abundant number, since it is smaller than the sum of its proper divisors (606715620).

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

303828252 is a wasteful number, since it uses less digits than its factorization.

303828252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12147 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 303828252 is about 17430.6698666460. The cubic root of 303828252 is about 672.2684319465.

The spelling of 303828252 in words is "three hundred three million, eight hundred twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 3588 4186 6279 8372 12097 12558 24194 25116 36291 48388 72582 84679 145164 157261 169358 254037 278231 314522 338716 471783 508074 556462 629044 834693 943566 1016148 1100827 1112924 1669386 1887132 1947617 2201654 3302481 3338772 3617003 3895234 4403308 5842851 6604962 7234006 7790468 10851009 11685702 13209924 14468012 21702018 23371404 25319021 43404036 50638042 75957063 101276084 151914126 303828252