Search a number
-
+
345502536 = 233196112421
BaseRepresentation
bin10100100101111…
…111001101001000
3220002010100101020
4110211333031020
51201422040121
654141152440
711363503011
oct2445771510
9802110336
10345502536
11168033195
129785b720
1356770092
1433c5a008
15204eb1c6
hex1497f348

345502536 has 64 divisors (see below), whose sum is σ = 924196800. Its totient is φ = 107308800.

The previous prime is 345502519. The next prime is 345502537. The reversal of 345502536 is 635205543.

It is a junction number, because it is equal to n+sod(n) for n = 345502497 and 345502506.

It is not an unprimeable number, because it can be changed into a prime (345502537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21606 + ... + 34026.

It is an arithmetic number, because the mean of its divisors is an integer number (14440575).

Almost surely, 2345502536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345502536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462098400).

345502536 is an abundant number, since it is smaller than the sum of its proper divisors (578694264).

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

345502536 is a wasteful number, since it uses less digits than its factorization.

345502536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12510 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The square root of 345502536 is about 18587.6985127261. The cubic root of 345502536 is about 701.6982818796.

The spelling of 345502536 in words is "three hundred forty-five million, five hundred two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 488 732 1159 1464 2318 3477 4636 6954 9272 12421 13908 24842 27816 37263 49684 74526 99368 149052 235999 298104 471998 707997 757681 943996 1415994 1515362 1887992 2273043 2831988 3030724 4546086 5663976 6061448 9092172 14395939 18184344 28791878 43187817 57583756 86375634 115167512 172751268 345502536