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2930205330 = 2325134358243
BaseRepresentation
bin1010111010100111…
…0110001010010010
321120012200212001100
42232221312022102
522000113032310
61202432245230
7132420222453
oct25651661222
97505625040
102930205330
11127402a6a8
126993a0816
133790b8310
141db23912a
151223a8ec0
hexaea76292

2930205330 has 96 divisors (see below), whose sum is σ = 8395523136. Its totient is φ = 704495232.

The previous prime is 2930205241. The next prime is 2930205361. The reversal of 2930205330 is 335020392.

2930205330 is a `hidden beast` number, since 29 + 302 + 0 + 5 + 330 = 666.

2930205330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29302053302 = 17172206551920817800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2930205294 and 2930205303.

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, 21189 + ... + 79431.

It is an arithmetic number, because the mean of its divisors is an integer number (87453366).

Almost surely, 22930205330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930205330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197761568).

2930205330 is an abundant number, since it is smaller than the sum of its proper divisors (5465317806).

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

2930205330 is a wasteful number, since it uses less digits than its factorization.

2930205330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58312 (or 58309 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 2930205330 is about 54131.3710338100. The cubic root of 2930205330 is about 1430.9771029186.

The spelling of 2930205330 in words is "two billion, nine hundred thirty million, two hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1118 1170 1290 1677 1935 2795 3354 3870 5031 5590 8385 10062 16770 25155 50310 58243 116486 174729 291215 349458 524187 582430 757159 873645 1048374 1514318 1747290 2271477 2504449 2620935 3785795 4542954 5008898 5241870 6814431 7513347 7571590 11357385 12522245 13628862 15026694 22540041 22714770 25044490 32557837 34072155 37566735 45080082 65115674 68144310 75133470 97673511 112700205 162789185 195347022 225400410 293020533 325578370 488367555 586041066 976735110 1465102665 2930205330