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302020368 = 243131771401
BaseRepresentation
bin10010000000000…
…111011100010000
3210001022020001120
4102000013130100
51104304122433
645545202240
710325062566
oct2200073420
9701266046
10302020368
11145534411
1285190380
134a7575a0
142c17ba36
151b7ac7b3
hex12007710

302020368 has 160 divisors (see below), whose sum is σ = 904442112. Its totient is φ = 86016000.

The previous prime is 302020363. The next prime is 302020373. The reversal of 302020368 is 863020203.

It is an interprime number because it is at equal distance from previous prime (302020363) and next prime (302020373).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (302020363) 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, 752968 + ... + 753368.

Almost surely, 2302020368 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 302020368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452221056).

302020368 is an abundant number, since it is smaller than the sum of its proper divisors (602421744).

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

302020368 is a wasteful number, since it uses less digits than its factorization.

302020368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 302020368 is about 17378.7332104501. The cubic root of 302020368 is about 670.9323679190.

The spelling of 302020368 in words is "three hundred two million, twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 71 78 102 104 136 142 156 204 208 213 221 272 284 312 401 408 426 442 568 624 663 802 816 852 884 923 1136 1203 1207 1326 1604 1704 1768 1846 2406 2414 2652 2769 3208 3408 3536 3621 3692 4812 4828 5213 5304 5538 6416 6817 7242 7384 9624 9656 10426 10608 11076 13634 14484 14768 15639 15691 19248 19312 20451 20852 22152 27268 28471 28968 31278 31382 40902 41704 44304 47073 54536 56942 57936 62556 62764 81804 83408 85413 88621 94146 109072 113884 125112 125528 163608 170826 177242 188292 227768 250224 251056 265863 327216 341652 354484 370123 376584 455536 484007 531726 683304 708968 740246 753168 968014 1063452 1110369 1366608 1417936 1452021 1480492 1936028 2126904 2220738 2904042 2960984 3872056 4253808 4441476 5808084 5921968 6292091 7744112 8882952 11616168 12584182 17765904 18876273 23232336 25168364 37752546 50336728 75505092 100673456 151010184 302020368