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434304234 = 233713312851
BaseRepresentation
bin11001111000101…
…111010011101010
31010021012221102000
4121320233103222
51342140213414
6111032351430
713522345050
oct3170572352
91107187360
10434304234
11203176221
12101545576
136bc92770
14419741d0
15281dcb09
hex19e2f4ea

434304234 has 128 divisors (see below), whose sum is σ = 1226588160. Its totient is φ = 110808000.

The previous prime is 434304197. The next prime is 434304271. The reversal of 434304234 is 432403434.

It is an interprime number because it is at equal distance from previous prime (434304197) and next prime (434304271).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434304198 and 434304207.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 150909 + ... + 153759.

It is an arithmetic number, because the mean of its divisors is an integer number (9582720).

Almost surely, 2434304234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434304234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613294080).

434304234 is an abundant number, since it is smaller than the sum of its proper divisors (792283926).

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

434304234 is a wasteful number, since it uses less digits than its factorization.

434304234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 434304234 is about 20839.9672264618. The cubic root of 434304234 is about 757.2942996021.

Adding to 434304234 its reverse (432403434), we get a palindrome (866707668).

The spelling of 434304234 in words is "four hundred thirty-four million, three hundred four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 91 93 117 126 182 186 189 217 234 273 279 351 378 403 434 546 558 651 702 806 819 837 1209 1302 1638 1674 1953 2418 2457 2821 2851 3627 3906 4914 5642 5702 5859 7254 8463 8553 10881 11718 16926 17106 19957 21762 25389 25659 37063 39914 50778 51318 59871 74126 76167 76977 88381 111189 119742 152334 153954 176762 179613 222378 259441 265143 333567 359226 518882 530286 538839 618667 667134 778323 795429 1000701 1077678 1148953 1237334 1556646 1590858 1856001 2001402 2297906 2334969 2386287 3446859 3712002 4669938 4772574 5568003 6893718 7004907 8042671 10340577 11136006 14009814 16085342 16704009 20681154 24128013 31021731 33408018 48256026 62043462 72384039 144768078 217152117 434304234