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302272020 = 223351314273
BaseRepresentation
bin10010000001000…
…100111000010100
3210001210000021000
4102001010320110
51104340201040
645554423300
710330161351
oct2201047024
9701700230
10302272020
11145696496
1285291b30
134a814cab
142c205628
151b80c130
hex12044e14

302272020 has 96 divisors (see below), whose sum is σ = 947802240. Its totient is φ = 79971840.

The previous prime is 302271997. The next prime is 302272031. The reversal of 302272020 is 20272203.

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 = 302271984 and 302272002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68604 + ... + 72876.

It is an arithmetic number, because the mean of its divisors is an integer number (9872940).

Almost surely, 2302272020 is an apocalyptic number.

302272020 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 302272020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473901120).

302272020 is an abundant number, since it is smaller than the sum of its proper divisors (645530220).

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

302272020 is a wasteful number, since it uses less digits than its factorization.

302272020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 302272020 is about 17385.9719314164. The cubic root of 302272020 is about 671.1186628595.

The spelling of 302272020 in words is "three hundred two million, two hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 131 135 180 262 270 393 524 540 655 786 1179 1310 1572 1965 2358 2620 3537 3930 4273 4716 5895 7074 7860 8546 11790 12819 14148 17092 17685 21365 23580 25638 35370 38457 42730 51276 64095 70740 76914 85460 115371 128190 153828 192285 230742 256380 384570 461484 559763 576855 769140 1119526 1153710 1679289 2239052 2307420 2798815 3358578 5037867 5597630 6717156 8396445 10075734 11195260 15113601 16792890 20151468 25189335 30227202 33585780 50378670 60454404 75568005 100757340 151136010 302272020