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302452020 = 2232513294457
BaseRepresentation
bin10010000001110…
…000110100110100
3210002010011011200
4102001300310310
51104411431040
650002332500
710331541213
oct2201606464
9702104150
10302452020
111457a9752
128535a130
134a878bc0
142c25107a
151b845630
hex12070d34

302452020 has 144 divisors (see below), whose sum is σ = 1022308560. Its totient is φ = 71866368.

The previous prime is 302452019. The next prime is 302452021. The reversal of 302452020 is 20254203.

It is an interprime number because it is at equal distance from previous prime (302452019) and next prime (302452021).

It can be written as a sum of positive squares in 8 ways, for example, as 6749604 + 295702416 = 2598^2 + 17196^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 302451984 and 302452002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302452021) 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 47 ways as a sum of consecutive naturals, for example, 65632 + ... + 70088.

It is an arithmetic number, because the mean of its divisors is an integer number (7099365).

Almost surely, 2302452020 is an apocalyptic number.

302452020 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 302452020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511154280).

302452020 is an abundant number, since it is smaller than the sum of its proper divisors (719856540).

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

302452020 is a wasteful number, since it uses less digits than its factorization.

302452020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 302452020 is about 17391.1477482080. The cubic root of 302452020 is about 671.2518512688.

The spelling of 302452020 in words is "three hundred two million, four hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4457 4524 5220 5655 6786 7540 8914 11310 13371 13572 16965 17828 22285 22620 26742 33930 40113 44570 53484 57941 66855 67860 80226 89140 115882 129253 133710 160452 173823 200565 231764 258506 267420 289705 347646 387759 401130 517012 521469 579410 646265 695292 775518 802260 869115 1042938 1158820 1163277 1292530 1551036 1680289 1738230 1938795 2085876 2326554 2585060 2607345 3360578 3476460 3877590 4653108 5040867 5214690 5816385 6721156 7755180 8401445 10081734 10429380 11632770 15122601 16802890 20163468 23265540 25204335 30245202 33605780 50408670 60490404 75613005 100817340 151226010 302452020