Search a number
-
+
345046110 = 235171076323
BaseRepresentation
bin10100100100001…
…111110001011110
3220001021011021120
4110210033301132
51201312433420
654123311410
711356562223
oct2444176136
9801234246
10345046110
11167851282
129767b566
13566403c6
1433b7b94a
152045ad40
hex1490fc5e

345046110 has 64 divisors (see below), whose sum is σ = 885157632. Its totient is φ = 85776896.

The previous prime is 345046087. The next prime is 345046111. The reversal of 345046110 is 11640543.

It is a super-2 number, since 2×3450461102 = 238113636052264200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345046111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51409 + ... + 57731.

It is an arithmetic number, because the mean of its divisors is an integer number (13830588).

Almost surely, 2345046110 is an apocalyptic number.

345046110 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 345046110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442578816).

345046110 is an abundant number, since it is smaller than the sum of its proper divisors (540111522).

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

345046110 is a wasteful number, since it uses less digits than its factorization.

345046110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 345046110 is about 18575.4168190111. The cubic root of 345046110 is about 701.3891529611.

Adding to 345046110 its reverse (11640543), we get a palindrome (356686653).

The spelling of 345046110 in words is "three hundred forty-five million, forty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 107 170 214 255 321 510 535 642 1070 1605 1819 3210 3638 5457 6323 9095 10914 12646 18190 18969 27285 31615 37938 54570 63230 94845 107491 189690 214982 322473 537455 644946 676561 1074910 1353122 1612365 2029683 3224730 3382805 4059366 6765610 10148415 11501537 20296830 23003074 34504611 57507685 69009222 115015370 172523055 345046110