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434230240320 = 26325150774389
BaseRepresentation
bin1100101000110100010…
…00111010010001000000
31112111211020210202011100
412110122020322101000
524103300420142240
6531252125014400
743241426100012
oct6243210722100
91474736722140
10434230240320
11158179717608
12701a69b4400
1331c42239606
14170343761b2
15b466ac6e30
hex651a23a440

434230240320 has 84 divisors (see below), whose sum is σ = 1493571107340. Its totient is φ = 115794729984.

The previous prime is 434230240307. The next prime is 434230240337. The reversal of 434230240320 is 23042032434.

434230240320 is a `hidden beast` number, since 4 + 3 + 4 + 230 + 2 + 403 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57450337344 + 376779902976 = 239688^2 + 613824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75384315 + ... + 75390074.

Almost surely, 2434230240320 is an apocalyptic number.

434230240320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434230240320 is an abundant number, since it is smaller than the sum of its proper divisors (1059340867020).

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

434230240320 is a wasteful number, since it uses less digits than its factorization.

434230240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150774412 (or 150774399 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 434230240320 its reverse (23042032434), we get a palindrome (457272272754).

The spelling of 434230240320 in words is "four hundred thirty-four billion, two hundred thirty million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 150774389 301548778 452323167 603097556 753871945 904646334 1206195112 1356969501 1507743890 1809292668 2261615835 2412390224 2713939002 3015487780 3618585336 4523231670 4824780448 5427878004 6030975560 6784847505 7237170672 9046463340 9649560896 10855756008 12061951120 13569695010 14474341344 18092926680 21711512016 24123902240 27139390020 28948682688 36185853360 43423024032 48247804480 54278780040 72371706720 86846048064 108557560080 144743413440 217115120160 434230240320