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430234014 = 23727120611
BaseRepresentation
bin11001101001001…
…101100110011110
31002222120011010010
4121221031212132
51340114442024
6110405224050
713442633400
oct3151154636
91088504103
10430234014
11200946201
12100102026
136b198c52
14411d4b70
1527b86b29
hex19a4d99e

430234014 has 48 divisors (see below), whose sum is σ = 1015099776. Its totient is φ = 121186800.

The previous prime is 430234003. The next prime is 430234031. The reversal of 430234014 is 410432034.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 10569 + ... + 31179.

It is an arithmetic number, because the mean of its divisors is an integer number (21147912).

Almost surely, 2430234014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430234014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507549888).

430234014 is an abundant number, since it is smaller than the sum of its proper divisors (584865762).

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

430234014 is a wasteful number, since it uses less digits than its factorization.

430234014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20701 (or 20694 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 430234014 is about 20742.0831644269. The cubic root of 430234014 is about 754.9211291381.

Adding to 430234014 its reverse (410432034), we get a palindrome (840666048).

The spelling of 430234014 in words is "four hundred thirty million, two hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1491 2982 3479 6958 10437 20611 20874 41222 61833 123666 144277 288554 432831 865662 1009939 1463381 2019878 2926762 3029817 4390143 6059634 8780286 10243667 20487334 30731001 61462002 71705669 143411338 215117007 430234014