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430106112 = 29353457
BaseRepresentation
bin11001101000101…
…110011000000000
31002222022122200000
4121220232120000
51340101343422
6110402400000
713441561452
oct3150563000
91088278600
10430106112
112008690a7
12100060000
136b152977
14411a02d2
1527b5dcac
hex19a2e600

430106112 has 120 divisors (see below), whose sum is σ = 1287662376. Its totient is φ = 143327232.

The previous prime is 430106111. The next prime is 430106119. The reversal of 430106112 is 211601034.

It is a happy number.

430106112 is a `hidden beast` number, since 43 + 0 + 10 + 611 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122688 + ... + 126144.

Almost surely, 2430106112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643831188).

430106112 is an abundant number, since it is smaller than the sum of its proper divisors (857556264).

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

430106112 is an frugal number, since it uses more digits than its factorization.

430106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 430106112 is about 20738.9997830175. Note that the first 3 decimals coincide. The cubic root of 430106112 is about 754.8463128839.

Adding to 430106112 its reverse (211601034), we get a palindrome (641707146).

The spelling of 430106112 in words is "four hundred thirty million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3457 3888 4608 5184 6912 6914 7776 10368 10371 13824 13828 15552 20736 20742 27656 31104 31113 41472 41484 55312 62208 62226 82968 93339 110624 124416 124452 165936 186678 221248 248904 280017 331872 373356 442496 497808 560034 663744 746712 840051 884992 995616 1120068 1327488 1493424 1680102 1769984 1991232 2240136 2654976 2986848 3360204 3982464 4480272 5309952 5973696 6720408 7964928 8960544 11947392 13440816 15929856 17921088 23894784 26881632 35842176 47789568 53763264 71684352 107526528 143368704 215053056 430106112