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2034334530 = 232579359797
BaseRepresentation
bin111100101000001…
…0111101101000010
312020202221220100100
41321100113231002
513131242201110
6533510503230
7101261362314
oct17120275502
95222856310
102034334530
11954368708
12489364b16
13265609257
141542757b4
15bd8e5bc0
hex79417b42

2034334530 has 96 divisors (see below), whose sum is σ = 5377881600. Its totient is φ = 533460096.

The previous prime is 2034334517. The next prime is 2034334583. The reversal of 2034334530 is 354334302.

It is a happy number.

2034334530 is a `hidden beast` number, since 203 + 4 + 3 + 3 + 453 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2034334494 and 2034334503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552092 + ... + 2552888.

It is an arithmetic number, because the mean of its divisors is an integer number (56019600).

Almost surely, 22034334530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034334530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688940800).

2034334530 is an abundant number, since it is smaller than the sum of its proper divisors (3343547070).

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

2034334530 is a wasteful number, since it uses less digits than its factorization.

2034334530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 2034334530 is about 45103.5977500687. The cubic root of 2034334530 is about 1267.0899809368.

Adding to 2034334530 its reverse (354334302), we get a palindrome (2388668832).

The spelling of 2034334530 in words is "two billion, thirty-four million, three hundred thirty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 359 395 474 711 718 790 797 1077 1185 1422 1594 1795 2154 2370 2391 3231 3555 3590 3985 4782 5385 6462 7110 7173 7970 10770 11955 14346 16155 23910 28361 32310 35865 56722 62963 71730 85083 125926 141805 170166 188889 255249 283610 286123 314815 377778 425415 510498 566667 572246 629630 850830 858369 944445 1133334 1276245 1430615 1716738 1888890 2552490 2575107 2833335 2861230 4291845 5150214 5666670 8583690 12875535 22603717 25751070 45207434 67811151 113018585 135622302 203433453 226037170 339055755 406866906 678111510 1017167265 2034334530