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300394116 = 2233112127181
BaseRepresentation
bin10001111001111…
…010011010000100
3202221020121021000
4101321322122010
51103400102431
645450253300
710305210411
oct2171723204
9687217230
10300394116
11144623600
1284727230
134a3082c9
142bc77108
151b58a9e6
hex11e7a684

300394116 has 144 divisors (see below), whose sum is σ = 867543040. Its totient is φ = 89812800.

The previous prime is 300394111. The next prime is 300394121. The reversal of 300394116 is 611493003.

It is an interprime number because it is at equal distance from previous prime (300394111) and next prime (300394121).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 300394116.

It is not an unprimeable number, because it can be changed into a prime (300394111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1659546 + ... + 1659726.

Almost surely, 2300394116 is an apocalyptic number.

300394116 is a gapful number since it is divisible by the number (36) 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 300394116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433771520).

300394116 is an abundant number, since it is smaller than the sum of its proper divisors (567148924).

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

300394116 is a wasteful number, since it uses less digits than its factorization.

300394116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 300394116 is about 17331.8814904788. The cubic root of 300394116 is about 669.7259709555.

The spelling of 300394116 in words is "three hundred million, three hundred ninety-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 127 132 181 198 242 254 297 362 363 381 396 484 508 543 594 724 726 762 1086 1089 1143 1188 1397 1452 1524 1629 1991 2172 2178 2286 2794 3258 3267 3429 3982 4191 4356 4572 4887 5588 5973 6516 6534 6858 7964 8382 9774 11946 12573 13068 13716 15367 16764 17919 19548 21901 22987 23892 25146 30734 35838 37719 43802 45974 46101 50292 53757 61468 65703 68961 71676 75438 87604 91948 92202 107514 131406 137922 138303 150876 184404 197109 206883 215028 252857 262812 275844 276606 394218 413766 414909 505714 553212 591327 620649 758571 788436 827532 829818 1011428 1182654 1241298 1517142 1659636 2275713 2365308 2482596 2781427 3034284 4551426 5562854 6827139 8344281 9102852 11125708 13654278 16688562 25032843 27308556 33377124 50065686 75098529 100131372 150197058 300394116