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283404420 = 223451313457
BaseRepresentation
bin10000111001000…
…110100010000100
3201202021102210000
4100321012202010
51040022420140
644042201300
710010616645
oct2071064204
9652242700
10283404420
11135a79a32
127aab3230
134693a130
14298d36cc
1519d31a30
hex10e46884

283404420 has 120 divisors (see below), whose sum is σ = 957509784. Its totient is φ = 69755904.

The previous prime is 283404419. The next prime is 283404421. The reversal of 283404420 is 24404382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (283404419) and next prime (283404421).

It can be written as a sum of positive squares in 4 ways, for example, as 67667076 + 215737344 = 8226^2 + 14688^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283404421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14332 + ... + 27788.

Almost surely, 2283404420 is an apocalyptic number.

283404420 is a gapful number since it is divisible by the number (20) 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 283404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478754892).

283404420 is an abundant number, since it is smaller than the sum of its proper divisors (674105364).

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

283404420 is a wasteful number, since it uses less digits than its factorization.

283404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13491 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 283404420 is about 16834.6196868239. The cubic root of 283404420 is about 656.8540365052.

The spelling of 283404420 in words is "two hundred eighty-three million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 13457 21060 26914 40371 53828 67285 80742 121113 134570 161484 174941 201855 242226 269140 349882 363339 403710 484452 524823 605565 699764 726678 807420 874705 1049646 1090017 1211130 1453356 1574469 1749410 1816695 2099292 2180034 2422260 2624115 3148938 3498820 3633390 4360068 4723407 5248230 5450085 6297876 7266780 7872345 9446814 10496460 10900170 14170221 15744690 18893628 21800340 23617035 28340442 31489380 47234070 56680884 70851105 94468140 141702210 283404420