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430000320 = 26354011117
BaseRepresentation
bin11001101000010…
…100100011000000
31002222010021112210
4121220110203000
51340040002240
6110400222120
713440641151
oct3150244300
91088107483
10430000320
112007a6672
1210000a940
136b116779
1441173928
1527b3c780
hex19a148c0

430000320 has 112 divisors (see below), whose sum is σ = 1369880928. Its totient is φ = 114278400.

The previous prime is 430000309. The next prime is 430000327. The reversal of 430000320 is 23000034.

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 = 430000296 and 430000305.

It is not an unprimeable number, because it can be changed into a prime (430000327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384402 + ... + 385518.

Almost surely, 2430000320 is an apocalyptic number.

430000320 is a gapful number since it is divisible by the number (40) 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 430000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684940464).

430000320 is an abundant number, since it is smaller than the sum of its proper divisors (939880608).

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

430000320 is a wasteful number, since it uses less digits than its factorization.

430000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1528 counting only the distinct ones).

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

The square root of 430000320 is about 20736.4490692114. The cubic root of 430000320 is about 754.7844186620.

Adding to 430000320 its reverse (23000034), we get a palindrome (453000354).

The spelling of 430000320 in words is "four hundred thirty million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 401 480 802 960 1117 1203 1604 2005 2234 2406 3208 3351 4010 4468 4812 5585 6015 6416 6702 8020 8936 9624 11170 12030 12832 13404 16040 16755 17872 19248 22340 24060 25664 26808 32080 33510 35744 38496 44680 48120 53616 64160 67020 71488 76992 89360 96240 107232 128320 134040 178720 192480 214464 268080 357440 384960 447917 536160 895834 1072320 1343751 1791668 2239585 2687502 3583336 4479170 5375004 6718755 7166672 8958340 10750008 13437510 14333344 17916680 21500016 26875020 28666688 35833360 43000032 53750040 71666720 86000064 107500080 143333440 215000160 430000320