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303229740 = 2235111924181
BaseRepresentation
bin10010000100101…
…110101100101100
3210010120200000010
4102010232230230
51110111322430
650031133220
710341260502
oct2204565454
9703520003
10303229740
1114618aaa0
1285674210
134aa8bba8
142c3b4672
151b94acb0
hex1212eb2c

303229740 has 96 divisors (see below), whose sum is σ = 975018240. Its totient is φ = 69638400.

The previous prime is 303229699. The next prime is 303229741. The reversal of 303229740 is 47922303.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 303229698 and 303229707.

It is not an unprimeable number, because it can be changed into a prime (303229741) by changing a digit.

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, 450 + ... + 24630.

It is an arithmetic number, because the mean of its divisors is an integer number (10156440).

Almost surely, 2303229740 is an apocalyptic number.

303229740 is a gapful number since it is divisible by the number (30) 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 303229740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487509120).

303229740 is an abundant number, since it is smaller than the sum of its proper divisors (671788500).

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

303229740 is a wasteful number, since it uses less digits than its factorization.

303229740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24223 (or 24221 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 303229740 is about 17413.4930441885. The cubic root of 303229740 is about 671.8267073708.

The spelling of 303229740 in words is "three hundred three million, two hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 24181 48362 72543 96724 120905 145086 241810 265991 290172 362715 459439 483620 531982 725430 797973 918878 1063964 1329955 1378317 1450860 1595946 1837756 2297195 2659910 2756634 3191892 3989865 4594390 5053829 5319820 5513268 6891585 7979730 9188780 10107658 13783170 15161487 15959460 20215316 25269145 27566340 30322974 50538290 60645948 75807435 101076580 151614870 303229740