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345563148 = 223717892719
BaseRepresentation
bin10100100110001…
…110000000001100
3220002020102112010
4110212032000030
51201431010043
654142341220
711364144510
oct2446160014
9802212463
10345563148
11168074787
129788a810
1356791848
1433c74140
152050e133
hex1498e00c

345563148 has 96 divisors (see below), whose sum is σ = 987033600. Its totient is φ = 91846656.

The previous prime is 345563147. The next prime is 345563161. The reversal of 345563148 is 841365543.

It is not an unprimeable number, because it can be changed into a prime (345563147) 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, 125733 + ... + 128451.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2345563148 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 345563148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

345563148 is an abundant number, since it is smaller than the sum of its proper divisors (641470452).

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

345563148 is a wasteful number, since it uses less digits than its factorization.

345563148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2837 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 345563148 is about 18589.3288743838. The cubic root of 345563148 is about 701.7393127887.

The spelling of 345563148 in words is "three hundred forty-five million, five hundred sixty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 89 102 119 178 204 238 267 356 357 476 534 623 714 1068 1246 1428 1513 1869 2492 2719 3026 3738 4539 5438 6052 7476 8157 9078 10591 10876 16314 18156 19033 21182 31773 32628 38066 42364 46223 57099 63546 76132 92446 114198 127092 138669 184892 228396 241991 277338 323561 483982 554676 647122 725973 967964 970683 1294244 1451946 1693937 1941366 2903892 3387874 3882732 4113847 5081811 6775748 8227694 10163622 12341541 16455388 20327244 24683082 28796929 49366164 57593858 86390787 115187716 172781574 345563148