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434142210 = 23519240087
BaseRepresentation
bin11001111000000…
…111110000000010
31010020220201011010
4121320013300002
51342120022320
6111025101350
713521101505
oct3170076002
91106821133
10434142210
11203075517
12101487856
136bc36aa8
144193113c
15281a9ae0
hex19e07c02

434142210 has 48 divisors (see below), whose sum is σ = 1099694016. Its totient is φ = 109675296.

The previous prime is 434142199. The next prime is 434142217. The reversal of 434142210 is 12241434.

It is not an unprimeable number, because it can be changed into a prime (434142217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9214 + ... + 30873.

It is an arithmetic number, because the mean of its divisors is an integer number (22910292).

Almost surely, 2434142210 is an apocalyptic number.

434142210 is an abundant number, since it is smaller than the sum of its proper divisors (665551806).

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

434142210 is a wasteful number, since it uses less digits than its factorization.

434142210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40135 (or 40116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 434142210 is about 20836.0795256689. The cubic root of 434142210 is about 757.2001143870.

Adding to 434142210 its reverse (12241434), we get a palindrome (446383644).

The spelling of 434142210 in words is "four hundred thirty-four million, one hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 5415 10830 40087 80174 120261 200435 240522 400870 601305 761653 1202610 1523306 2284959 3808265 4569918 7616530 11424795 14471407 22849590 28942814 43414221 72357035 86828442 144714070 217071105 434142210