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34341143300 = 2252536479461
BaseRepresentation
bin11111111110111001…
…000100001100000100
310021122021220211110022
4133332321010030010
51030312313041200
623435345514312
72324001621212
oct377671041404
9107567824408
1034341143300
1113622753272
1267a4942998
13331388b649
14193ac01cb2
15d5ecd8885
hex7fee44304

34341143300 has 36 divisors (see below), whose sum is σ = 75926335716. Its totient is φ = 13477276800.

The previous prime is 34341143297. The next prime is 34341143303. The reversal of 34341143300 is 334114343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34341143297) and next prime (34341143303).

It can be written as a sum of positive squares in 6 ways, for example, as 11723776 + 34329419524 = 3424^2 + 185282^2 .

It is a super-2 number, since 2×343411433002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34341143300.

It is not an unprimeable number, because it can be changed into a prime (34341143303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3234431 + ... + 3245030.

It is an arithmetic number, because the mean of its divisors is an integer number (2109064881).

Almost surely, 234341143300 is an apocalyptic number.

It is an amenable number.

34341143300 is an abundant number, since it is smaller than the sum of its proper divisors (41585192416).

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

34341143300 is a wasteful number, since it uses less digits than its factorization.

34341143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479528 (or 6479521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34341143300 its reverse (334114343), we get a palindrome (34675257643).

The spelling of 34341143300 in words is "thirty-four billion, three hundred forty-one million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 6479461 12958922 25917844 32397305 64794610 129589220 161986525 323973050 343411433 647946100 686822866 1373645732 1717057165 3434114330 6868228660 8585285825 17170571650 34341143300