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302428280 = 235711149659
BaseRepresentation
bin10010000001101…
…011000001111000
3210002001221121102
4102001223001320
51104410201110
650002030532
710331412050
oct2201530170
9702057542
10302428280
11145792930
1285348448
134a86b15b
142c246560
151b83d5a5
hex1206b078

302428280 has 128 divisors (see below), whose sum is σ = 855360000. Its totient is φ = 93488640.

The previous prime is 302428271. The next prime is 302428289. The reversal of 302428280 is 82824203.

302428280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (302428271) and next prime (302428289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302428289) 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, 458591 + ... + 459249.

It is an arithmetic number, because the mean of its divisors is an integer number (6682500).

Almost surely, 2302428280 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 302428280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427680000).

302428280 is an abundant number, since it is smaller than the sum of its proper divisors (552931720).

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

302428280 is a wasteful number, since it uses less digits than its factorization.

302428280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 302428280 is about 17390.4652036684. The cubic root of 302428280 is about 671.2342882231.

The spelling of 302428280 in words is "three hundred two million, four hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 149 154 220 280 298 308 385 440 596 616 659 745 770 1043 1192 1318 1490 1540 1639 2086 2636 2980 3080 3278 3295 4172 4613 5215 5272 5960 6556 6590 7249 8195 8344 9226 10430 11473 13112 13180 14498 16390 18452 20860 22946 23065 26360 28996 32780 36245 36904 41720 45892 46130 50743 57365 57992 65560 72490 91784 92260 98191 101486 114730 144980 184520 196382 202972 229460 253715 289960 392764 405944 458920 490955 507430 687337 785528 981910 1014860 1080101 1374674 1963820 2029720 2160202 2749348 3436685 3927640 4320404 5400505 5498696 6873370 7560707 8640808 10801010 13746740 15121414 21602020 27493480 30242828 37803535 43204040 60485656 75607070 151214140 302428280