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434120202 = 23367971237
BaseRepresentation
bin11001111000000…
…010011000001010
31010020212120222000
4121320002120022
51342113321302
6111024411430
713520650365
oct3170023012
91106776860
10434120202
1120305aa2a
12101476b76
136bc29a79
14419270dc
15281a331c
hex19e0260a

434120202 has 64 divisors (see below), whose sum is σ = 990003840. Its totient is φ = 140963328.

The previous prime is 434120201. The next prime is 434120209. The reversal of 434120202 is 202021434.

It is a super-3 number, since 3×4341202023 (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (434120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350328 + ... + 351564.

It is an arithmetic number, because the mean of its divisors is an integer number (15468810).

Almost surely, 2434120202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495001920).

434120202 is an abundant number, since it is smaller than the sum of its proper divisors (555883638).

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

434120202 is a wasteful number, since it uses less digits than its factorization.

434120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 434120202 is about 20835.5513965914. The cubic root of 434120202 is about 757.1873192388.

Adding to 434120202 its reverse (202021434), we get a palindrome (636141636).

The spelling of 434120202 in words is "four hundred thirty-four million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 67 97 134 194 201 291 402 582 603 873 1206 1237 1746 1809 2474 2619 3618 3711 5238 6499 7422 11133 12998 19497 22266 33399 38994 58491 66798 82879 116982 119989 165758 175473 239978 248637 350946 359967 497274 719934 745911 1079901 1491822 2159802 2237733 3239703 4475466 6479406 8039263 16078526 24117789 48235578 72353367 144706734 217060101 434120202