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302023020 = 2235131722777
BaseRepresentation
bin10010000000001…
…000000101101100
3210001022100200210
4102000020011230
51104304214040
645545222420
710325103405
oct2200100554
9701270623
10302023020
11145536402
1285191a10
134a758860
142c17c9ac
151b7ad480
hex1200816c

302023020 has 96 divisors (see below), whose sum is σ = 964329408. Its totient is φ = 69967872.

The previous prime is 302023009. The next prime is 302023021. The reversal of 302023020 is 20320203.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 302022987 and 302023005.

It is not an unprimeable number, because it can be changed into a prime (302023021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1872 + ... + 24648.

It is an arithmetic number, because the mean of its divisors is an integer number (10045098).

Almost surely, 2302023020 is an apocalyptic number.

302023020 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 302023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482164704).

302023020 is an abundant number, since it is smaller than the sum of its proper divisors (662306388).

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

302023020 is a wasteful number, since it uses less digits than its factorization.

302023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22819 (or 22817 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 302023020 is about 17378.8095104354. The cubic root of 302023020 is about 670.9343317020.

Adding to 302023020 its reverse (20320203), we get a palindrome (322343223).

The spelling of 302023020 in words is "three hundred two million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 22777 45554 68331 91108 113885 136662 227770 273324 296101 341655 387209 455540 592202 683310 774418 888303 1161627 1184404 1366620 1480505 1548836 1776606 1936045 2323254 2961010 3553212 3872090 4441515 4646508 5033717 5808135 5922020 7744180 8883030 10067434 11616270 15101151 17766060 20134868 23232540 25168585 30202302 50337170 60404604 75505755 100674340 151011510 302023020