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34013134300 = 22522937316991
BaseRepresentation
bin11111101011010101…
…110011110111011100
310020210102201020200211
4133223111303313130
51024124330244200
623343031302204
72312606604565
oct375325636734
9106712636624
1034013134300
1113474589252
126712b1a964
133290934b92
14190941b16c
15d410e5aba
hex7eb573ddc

34013134300 has 72 divisors (see below), whose sum is σ = 78417480960. Its totient is φ = 12781036800.

The previous prime is 34013134283. The next prime is 34013134301. The reversal of 34013134300 is 343131043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013134301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51196 + ... + 265795.

It is an arithmetic number, because the mean of its divisors is an integer number (1089131680).

Almost surely, 234013134300 is an apocalyptic number.

It is an amenable number.

34013134300 is an abundant number, since it is smaller than the sum of its proper divisors (44404346660).

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

34013134300 is a wasteful number, since it uses less digits than its factorization.

34013134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317071 (or 317064 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 34013134300 its reverse (343131043), we get a palindrome (34356265343).

The spelling of 34013134300 in words is "thirty-four billion, thirteen million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 145 148 185 290 370 580 725 740 925 1073 1450 1850 2146 2900 3700 4292 5365 10730 21460 26825 53650 107300 316991 633982 1267964 1584955 3169910 6339820 7924775 9192739 11728667 15849550 18385478 23457334 31699100 36770956 45963695 46914668 58643335 91927390 117286670 183854780 229818475 234573340 293216675 340131343 459636950 586433350 680262686 919273900 1172866700 1360525372 1700656715 3401313430 6802626860 8503283575 17006567150 34013134300