Search a number
-
+
345322051250 = 25411215112
BaseRepresentation
bin1010000011001101100…
…11000101011010110010
31020000100002100210001212
411001212303011122302
521124204421120000
6422345550000122
733643255001501
oct5014663053262
91200302323055
10345322051250
111234a5328200
1256b137a6042
132674368b807
14129dc484838
158eb1514c35
hex5066cc56b2

345322051250 has 90 divisors (see below), whose sum is σ = 711935050827. Its totient is φ = 125488550000.

The previous prime is 345322051199. The next prime is 345322051271. The reversal of 345322051250 is 52150223543.

It can be written as a sum of positive squares in 3 ways, for example, as 79838458249 + 265483593001 = 282557^2 + 515251^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=415525.

It is a super-3 number, since 3×3453220512503 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 228537995 + ... + 228539505.

Almost surely, 2345322051250 is an apocalyptic number.

345322051250 is an abundant number, since it is smaller than the sum of its proper divisors (366612999577).

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

345322051250 is an frugal number, since it uses more digits than its factorization.

345322051250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Multiplying 345322051250 by its sum of digits (32), we get a square (11050305640000 = 33242002).

Adding to 345322051250 its reverse (52150223543), we get a palindrome (397472274793).

The spelling of 345322051250 in words is "three hundred forty-five billion, three hundred twenty-two million, fifty-one thousand, two hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 125 242 250 275 550 605 625 1210 1250 1375 1511 2750 3022 3025 6050 6875 7555 13750 15110 15125 16621 30250 33242 37775 75550 75625 83105 151250 166210 182831 188875 365662 377750 415525 831050 914155 944375 1828310 1888750 2077625 2283121 4155250 4566242 4570775 9141550 10388125 11415605 20776250 22831210 22853875 25114331 45707750 50228662 57078025 114156050 114269375 125571655 228538750 251143310 276257641 285390125 552515282 570780250 627858275 1255716550 1381288205 1426950625 2762576410 2853901250 3139291375 6278582750 6906441025 13812882050 15696456875 31392913750 34532205125 69064410250 172661025625 345322051250