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300026430 = 234511151223
BaseRepresentation
bin10001111000100…
…000101000111110
3202220112220220000
4101320200220332
51103301321210
645434335130
710302116424
oct2170405076
9686486800
10300026430
111443a2330
128458a4a6
134a209b42
142bbbd114
151b516ac0
hex11e20a3e

300026430 has 160 divisors (see below), whose sum is σ = 889878528. Its totient is φ = 71928000.

The previous prime is 300026407. The next prime is 300026453. The reversal of 300026430 is 34620003.

It is an interprime number because it is at equal distance from previous prime (300026407) and next prime (300026453).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1345299 + ... + 1345521.

Almost surely, 2300026430 is an apocalyptic number.

300026430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300026430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444939264).

300026430 is an abundant number, since it is smaller than the sum of its proper divisors (589852098).

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

300026430 is a wasteful number, since it uses less digits than its factorization.

300026430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 300026430 is about 17321.2710272659. The cubic root of 300026430 is about 669.4526085192.

Adding to 300026430 its reverse (34620003), we get a palindrome (334646433).

The spelling of 300026430 in words is "three hundred million, twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 151 162 165 198 223 270 297 302 330 405 446 453 495 594 669 755 810 891 906 990 1115 1338 1359 1485 1510 1661 1782 2007 2230 2265 2453 2718 2970 3322 3345 4014 4077 4455 4530 4906 4983 6021 6690 6795 7359 8154 8305 8910 9966 10035 12042 12231 12265 13590 14718 14949 16610 18063 20070 20385 22077 24462 24530 24915 29898 30105 33673 36126 36795 40770 44154 44847 49830 60210 61155 66231 67346 73590 74745 89694 90315 101019 110385 122310 132462 134541 149490 168365 180630 198693 202038 220770 224235 269082 303057 331155 336730 370403 397386 448470 505095 606114 662310 672705 740806 909171 993465 1010190 1111209 1345410 1515285 1818342 1852015 1986930 2222418 2727513 3030570 3333627 3704030 4545855 5455026 5556045 6667254 9091710 10000881 11112090 13637565 16668135 20001762 27275130 30002643 33336270 50004405 60005286 100008810 150013215 300026430