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2345682580 = 2253147101797
BaseRepresentation
bin1000101111010000…
…0100011010010100
320001110211000120121
42023310010122110
514300443320310
61024432041324
7112061654503
oct21364043224
96043730517
102345682580
11aa409304a
12555693244
132b4c7b377
1418376083a
15dade70da
hex8bd04694

2345682580 has 96 divisors (see below), whose sum is σ = 5251018752. Its totient is φ = 878784000.

The previous prime is 2345682571. The next prime is 2345682583. The reversal of 2345682580 is 852865432.

It is a super-2 number, since 2×23456825802 = 11004453532230912800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345682583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2942742 + ... + 2943538.

It is an arithmetic number, because the mean of its divisors is an integer number (54698112).

Almost surely, 22345682580 is an apocalyptic number.

2345682580 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 2345682580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625509376).

2345682580 is an abundant number, since it is smaller than the sum of its proper divisors (2905336172).

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

2345682580 is a wasteful number, since it uses less digits than its factorization.

2345682580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 2345682580 is about 48432.2473151928. The cubic root of 2345682580 is about 1328.6882085435.

The spelling of 2345682580 in words is "two billion, three hundred forty-five million, six hundred eighty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 31 47 62 94 101 124 155 188 202 235 310 404 470 505 620 797 940 1010 1457 1594 2020 2914 3131 3188 3985 4747 5828 6262 7285 7970 9494 12524 14570 15655 15940 18988 23735 24707 29140 31310 37459 47470 49414 62620 74918 80497 94940 98828 123535 147157 149836 160994 187295 247070 294314 321988 374590 402485 494140 588628 735785 749180 804970 1161229 1471570 1609940 2322458 2495407 2943140 3783359 4644916 4990814 5806145 7566718 9981628 11612290 12477035 15133436 18916795 23224580 24954070 37833590 49908140 75667180 117284129 234568258 469136516 586420645 1172841290 2345682580