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430868034 = 232371993251
BaseRepresentation
bin11001101011101…
…000011001000010
31010000202100211100
4121223220121002
51340300234114
6110430555230
713451214012
oct3153503102
91100670740
10430868034
11201239593
12100368b16
136b35b6cc
144131bc42
1527c5e909
hex19ae8642

430868034 has 48 divisors (see below), whose sum is σ = 963892800. Its totient is φ = 138996000.

The previous prime is 430867999. The next prime is 430868047.

430868034 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 430868034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130909 + ... + 134159.

It is an arithmetic number, because the mean of its divisors is an integer number (20081100).

Almost surely, 2430868034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430868034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481946400).

430868034 is an abundant number, since it is smaller than the sum of its proper divisors (533024766).

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

430868034 is a wasteful number, since it uses less digits than its factorization.

430868034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 430868034 is about 20757.3609594283. The cubic root of 430868034 is about 755.2917802686.

The spelling of 430868034 in words is "four hundred thirty million, eight hundred sixty-eight thousand, thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 199 222 333 398 597 666 1194 1791 3251 3582 6502 7363 9753 14726 19506 22089 29259 44178 58518 66267 120287 132534 240574 360861 646949 721722 1082583 1293898 1940847 2165166 3881694 5822541 11645082 23937113 47874226 71811339 143622678 215434017 430868034