Search a number
-
+
345534030 = 232553107677
BaseRepresentation
bin10100100110000…
…110111001001110
3220002011221120200
4110212012321032
51201424042110
654141554330
711363663562
oct2446067116
9802157520
10345534030
11168054916
12978759a6
135678150a
1433c676a2
15205056c0
hex14986e4e

345534030 has 96 divisors (see below), whose sum is σ = 925258464. Its totient is φ = 89426688.

The previous prime is 345533963. The next prime is 345534041. The reversal of 345534030 is 30435543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345533985 and 345534003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510052 + ... + 510728.

It is an arithmetic number, because the mean of its divisors is an integer number (9638109).

Almost surely, 2345534030 is an apocalyptic number.

345534030 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 345534030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462629232).

345534030 is an abundant number, since it is smaller than the sum of its proper divisors (579724434).

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

345534030 is a wasteful number, since it uses less digits than its factorization.

345534030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 345534030 is about 18588.5456666195. The cubic root of 345534030 is about 701.7196021421.

Adding to 345534030 its reverse (30435543), we get a palindrome (375969573).

It can be divided in two parts, 34553 and 4030, that added together give a palindrome (38583).

The spelling of 345534030 in words is "three hundred forty-five million, five hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 107 159 214 265 318 321 477 530 535 642 677 795 954 963 1070 1354 1590 1605 1926 2031 2385 3210 3385 4062 4770 4815 5671 6093 6770 9630 10155 11342 12186 17013 20310 28355 30465 34026 35881 51039 56710 60930 71762 72439 85065 102078 107643 144878 170130 179405 215286 217317 255195 322929 358810 362195 434634 510390 538215 645858 651951 724390 1076430 1086585 1303902 1614645 2173170 3229290 3259755 3839267 6519510 7678534 11517801 19196335 23035602 34553403 38392670 57589005 69106806 115178010 172767015 345534030