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430001334 = 232715721737
BaseRepresentation
bin11001101000010…
…100110010110110
31002222010022221100
4121220110302312
51340040020314
6110400230530
713440644130
oct3150246266
91088108840
10430001334
112007a7404
1210000b446
136b117079
1441174050
1527b3cc09
hex19a14cb6

430001334 has 48 divisors (see below), whose sum is σ = 1071596448. Its totient is φ = 122069376.

The previous prime is 430001321. The next prime is 430001387. The reversal of 430001334 is 433100034.

It is a super-2 number, since 2×4300013342 = 369802294483559112, which contains 22 as substring.

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

It is a Curzon number.

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, 8914 + ... + 30650.

It is an arithmetic number, because the mean of its divisors is an integer number (22324926).

Almost surely, 2430001334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430001334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535798224).

430001334 is an abundant number, since it is smaller than the sum of its proper divisors (641595114).

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

430001334 is a wasteful number, since it uses less digits than its factorization.

430001334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21909 (or 21906 counting only the distinct ones).

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

The square root of 430001334 is about 20736.4735188990. The cubic root of 430001334 is about 754.7850119568.

Adding to 430001334 its reverse (433100034), we get a palindrome (863101368).

The spelling of 430001334 in words is "four hundred thirty million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 157 314 471 942 1099 1413 2198 2826 3297 6594 9891 19782 21737 43474 65211 130422 152159 195633 304318 391266 456477 912954 1369431 2738862 3412709 6825418 10238127 20476254 23888963 30714381 47777926 61428762 71666889 143333778 215000667 430001334