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2930605340 = 2251321994357
BaseRepresentation
bin1010111010101101…
…0111110100011100
321120020110011202112
42232223113310130
522000213332330
61202445013152
7132423506615
oct25653276434
97506404675
102930605340
111274283193
126995541b8
133791c8400
141db300c0c
15122437795
hexaead7d1c

2930605340 has 72 divisors (see below), whose sum is σ = 6699117600. Its totient is φ = 1076385024.

The previous prime is 2930605319. The next prime is 2930605351. The reversal of 2930605340 is 435060392.

It is a junction number, because it is equal to n+sod(n) for n = 2930605297 and 2930605306.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 670442 + ... + 674798.

It is an arithmetic number, because the mean of its divisors is an integer number (93043300).

Almost surely, 22930605340 is an apocalyptic number.

2930605340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930605340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349558800).

2930605340 is an abundant number, since it is smaller than the sum of its proper divisors (3768512260).

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

2930605340 is a wasteful number, since it uses less digits than its factorization.

2930605340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 2930605340 is about 54135.0657153014. The cubic root of 2930605340 is about 1431.0422154326.

The spelling of 2930605340 in words is "two billion, nine hundred thirty million, six hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 199 260 338 398 676 796 845 995 1690 1990 2587 3380 3980 4357 5174 8714 10348 12935 17428 21785 25870 33631 43570 51740 56641 67262 87140 113282 134524 168155 226564 283205 336310 566410 672620 736333 867043 1132820 1472666 1734086 2945332 3468172 3681665 4335215 7363330 8670430 11271559 14726660 17340860 22543118 45086236 56357795 112715590 146530267 225431180 293060534 586121068 732651335 1465302670 2930605340