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345052110 = 23513899941
BaseRepresentation
bin10100100100010…
…001001111001110
3220001021110111210
4110210101033032
51201313131420
654123355250
711356615554
oct2444211716
9801243453
10345052110
11167855837
1297682b26
1356643060
1433b7dbd4
152045c9e0
hex149113ce

345052110 has 64 divisors (see below), whose sum is σ = 901938240. Its totient is φ = 83973120.

The previous prime is 345052109. The next prime is 345052117. The reversal of 345052110 is 11250543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345052117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29740 + ... + 39680.

It is an arithmetic number, because the mean of its divisors is an integer number (14092785).

Almost surely, 2345052110 is an apocalyptic number.

345052110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345052110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450969120).

345052110 is an abundant number, since it is smaller than the sum of its proper divisors (556886130).

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

345052110 is a wasteful number, since it uses less digits than its factorization.

345052110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 345052110 is about 18575.5783220873. The cubic root of 345052110 is about 701.3932184182.

The spelling of 345052110 in words is "three hundred forty-five million, fifty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 390 445 534 890 1157 1335 2314 2670 3471 5785 6942 9941 11570 17355 19882 29823 34710 49705 59646 99410 129233 149115 258466 298230 387699 646165 775398 884749 1292330 1769498 1938495 2654247 3876990 4423745 5308494 8847490 11501737 13271235 23003474 26542470 34505211 57508685 69010422 115017370 172526055 345052110