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430161102 = 23273192193
BaseRepresentation
bin11001101000111…
…011110011001110
31002222102110002200
4121220323303032
51340110123402
6110403502330
713442211000
oct3150736316
91088373080
10430161102
112008a6448
121000879a6
136b1719c7
14411b6370
1527b7021c
hex19a3bcce

430161102 has 144 divisors (see below), whose sum is σ = 1153058400. Its totient is φ = 115831296.

The previous prime is 430161101. The next prime is 430161107. The reversal of 430161102 is 201161034.

It is a happy number.

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 (430161101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2228718 + ... + 2228910.

It is an arithmetic number, because the mean of its divisors is an integer number (8007350).

Almost surely, 2430161102 is an apocalyptic number.

430161102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 430161102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576529200).

430161102 is an abundant number, since it is smaller than the sum of its proper divisors (722897298).

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

430161102 is a wasteful number, since it uses less digits than its factorization.

430161102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 224 counting only the distinct ones).

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

The square root of 430161102 is about 20740.3255037138. The cubic root of 430161102 is about 754.8784810929.

The spelling of 430161102 in words is "four hundred thirty million, one hundred sixty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 193 266 294 342 343 361 386 399 441 579 686 722 798 882 931 1029 1083 1158 1197 1351 1737 1862 2058 2166 2394 2527 2702 2793 3087 3249 3474 3667 4053 5054 5586 6174 6498 6517 7334 7581 8106 8379 9457 11001 12159 13034 15162 16758 17689 18914 19551 22002 22743 24318 25669 28371 33003 35378 39102 45486 51338 53067 56742 58653 66006 66199 69673 77007 85113 106134 117306 123823 132398 139346 154014 159201 170226 179683 198597 209019 231021 247646 318402 359366 371469 397194 418038 462042 487711 539049 595791 627057 742938 975422 1078098 1114407 1191582 1254114 1257781 1463133 1617147 2228814 2515562 2926266 3234294 3413977 3773343 4389399 6827954 7546686 8778798 10241931 11320029 20483862 22640058 23897839 30725793 47795678 61451586 71693517 143387034 215080551 430161102