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34130420 = 2257397241
BaseRepresentation
bin1000001000110…
…0100111110100
32101020000010122
42002030213310
532214133140
63215311112
7563050412
oct202144764
971200118
1034130420
11182a1765
12b51b498
1370c001c
1447662b2
152ee2ab5
hex208c9f4

34130420 has 48 divisors (see below), whose sum is σ = 73709328. Its totient is φ = 13271040.

The previous prime is 34130417. The next prime is 34130423. The reversal of 34130420 is 2403143.

It is an interprime number because it is at equal distance from previous prime (34130417) and next prime (34130423).

It can be written as a sum of positive squares in 8 ways, for example, as 164836 + 33965584 = 406^2 + 5828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130423) 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 15 ways as a sum of consecutive naturals, for example, 141500 + ... + 141740.

It is an arithmetic number, because the mean of its divisors is an integer number (1535611).

Almost surely, 234130420 is an apocalyptic number.

It is an amenable number.

34130420 is an abundant number, since it is smaller than the sum of its proper divisors (39578908).

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

34130420 is a wasteful number, since it uses less digits than its factorization.

34130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34130420 is about 5842.1246135289. The cubic root of 34130420 is about 324.3748772712.

Adding to 34130420 its reverse (2403143), we get a palindrome (36533563).

The spelling of 34130420 in words is "thirty-four million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 97 146 194 241 292 365 388 482 485 730 964 970 1205 1460 1940 2410 4820 7081 14162 17593 23377 28324 35186 35405 46754 70372 70810 87965 93508 116885 141620 175930 233770 351860 467540 1706521 3413042 6826084 8532605 17065210 34130420