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345325342100 = 225259129745127
BaseRepresentation
bin1010000011001101111…
…11101000110110010100
31020000100022112222021012
411001212333220312110
521124211241421400
6422350144311352
733643324656014
oct5014677506624
91200308488235
10345325342100
111234a7175712
1256b14912558
132674427166b
14129dca9dc44
158eb1964d35
hex5066fe8d94

345325342100 has 72 divisors (see below), whose sum is σ = 762661394880. Its totient is φ = 135681246720.

The previous prime is 345325342097. The next prime is 345325342121. The reversal of 345325342100 is 1243523543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7629737 + ... + 7674863.

Almost surely, 2345325342100 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 345325342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381330697440).

345325342100 is an abundant number, since it is smaller than the sum of its proper divisors (417336052780).

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

345325342100 is a wasteful number, since it uses less digits than its factorization.

345325342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46497 (or 46490 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 345325342100 its reverse (1243523543), we get a palindrome (346568865643).

The spelling of 345325342100 in words is "three hundred forty-five billion, three hundred twenty-five million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1297 1475 2594 2950 5188 5900 6485 12970 25940 32425 45127 64850 76523 90254 129700 153046 180508 225635 306092 382615 451270 765230 902540 1128175 1530460 1913075 2256350 2662493 3826150 4512700 5324986 7652300 10649972 13312465 26624930 53249860 58529719 66562325 117059438 133124650 234118876 266249300 292648595 585297190 1170594380 1463242975 2926485950 3453253421 5852971900 6906506842 13813013684 17266267105 34532534210 69065068420 86331335525 172662671050 345325342100