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34050313520 = 2459714932939
BaseRepresentation
bin11111101101100011…
…101000110100110000
310020220000200010222222
4133231203220310300
51024213340013040
623350440220212
72313540614036
oct375543506460
9106800603888
1034050313520
1113493572583
12672346a668
133298551812
141910338556
15d444dbbb5
hex7ed8e8d30

34050313520 has 80 divisors (see below), whose sum is σ = 80063938080. Its totient is φ = 13466099712.

The previous prime is 34050313519. The next prime is 34050313537. The reversal of 34050313520 is 2531305043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 34050313520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11584211 + ... + 11587149.

It is an arithmetic number, because the mean of its divisors is an integer number (1000799226).

Almost surely, 234050313520 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 34050313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40031969040).

34050313520 is an abundant number, since it is smaller than the sum of its proper divisors (46013624560).

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

34050313520 is a wasteful number, since it uses less digits than its factorization.

34050313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 34050313520 its reverse (2531305043), we get a palindrome (36581618563).

The spelling of 34050313520 in words is "thirty-four billion, fifty million, three hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1493 1552 1940 2939 2986 3880 5878 5972 7465 7760 11756 11944 14695 14930 23512 23888 29390 29860 47024 58780 59720 117560 119440 144821 235120 285083 289642 570166 579284 724105 1140332 1158568 1425415 1448210 2280664 2317136 2850830 2896420 4387927 4561328 5701660 5792840 8775854 11403320 11585680 17551708 21939635 22806640 35103416 43879270 70206832 87758540 175517080 351034160 425628919 851257838 1702515676 2128144595 3405031352 4256289190 6810062704 8512578380 17025156760 34050313520