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1230034320 = 2432517100493
BaseRepresentation
bin100100101010000…
…1101010110010000
310011201112012212200
41021110031112100
510004342044240
6322015523200
742324055614
oct11124152620
93151465780
101230034320
1158135aa99
122a3b29500
13167aabc78
14b950b344
1572ebe930
hex4950d590

1230034320 has 120 divisors (see below), whose sum is σ = 4373900856. Its totient is φ = 308711424.

The previous prime is 1230034259. The next prime is 1230034367. The reversal of 1230034320 is 234300321.

1230034320 is a `hidden beast` number, since 1 + 2 + 300 + 343 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 701402256 + 528632064 = 26484^2 + 22992^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1230034293 and 1230034302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38007 + ... + 62486.

Almost surely, 21230034320 is an apocalyptic number.

1230034320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230034320 is an abundant number, since it is smaller than the sum of its proper divisors (3143866536).

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

1230034320 is a wasteful number, since it uses less digits than its factorization.

1230034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100529 (or 100520 counting only the distinct ones).

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

The square root of 1230034320 is about 35071.8451182712. The cubic root of 1230034320 is about 1071.4512348730.

Adding to 1230034320 its reverse (234300321), we get a palindrome (1464334641).

The spelling of 1230034320 in words is "one billion, two hundred thirty million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 100493 200986 301479 401972 502465 602958 803944 904437 1004930 1205916 1507395 1607888 1708381 1808874 2009860 2411832 3014790 3416762 3617748 4019720 4522185 4823664 5125143 6029580 6833524 7235496 8039440 8541905 9044370 10250286 12059160 13667048 14470992 15375429 17083810 18088740 20500572 24118320 25625715 27334096 30750858 34167620 36177480 41001144 51251430 61501716 68335240 72354960 76877145 82002288 102502860 123003432 136670480 153754290 205005720 246006864 307508580 410011440 615017160 1230034320