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2341330000 = 24541371709
BaseRepresentation
bin1000101110001101…
…1101110001010000
320001011121212221221
42023203131301100
514243340030000
61024154454424
7112006655662
oct21343356120
96034555857
102341330000
11aa168a979
12554134414
132b40b6189
14182d4a532
15da83761a
hex8b8ddc50

2341330000 has 100 divisors (see below), whose sum is σ = 5713311780. Its totient is φ = 929152000.

The previous prime is 2341329997. The next prime is 2341330003. The reversal of 2341330000 is 331432.

It is an interprime number because it is at equal distance from previous prime (2341329997) and next prime (2341330003).

It can be written as a sum of positive squares in 10 ways, for example, as 2023920144 + 317409856 = 44988^2 + 17816^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341330003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1369146 + ... + 1370854.

Almost surely, 22341330000 is an apocalyptic number.

2341330000 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 2341330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856655890).

2341330000 is an abundant number, since it is smaller than the sum of its proper divisors (3371981780).

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

2341330000 is a wasteful number, since it uses less digits than its factorization.

2341330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2341330000 is about 48387.2917200374. The cubic root of 2341330000 is about 1327.8658747059.

Adding to 2341330000 its reverse (331432), we get a palindrome (2341661432).

The spelling of 2341330000 in words is "two billion, three hundred forty-one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 625 685 1000 1096 1250 1370 1709 2000 2192 2500 2740 3418 3425 5000 5480 6836 6850 8545 10000 10960 13672 13700 17090 17125 27344 27400 34180 34250 42725 54800 68360 68500 85450 85625 136720 137000 170900 171250 213625 234133 274000 341800 342500 427250 468266 683600 685000 854500 936532 1068125 1170665 1370000 1709000 1873064 2136250 2341330 3418000 3746128 4272500 4682660 5853325 8545000 9365320 11706650 17090000 18730640 23413300 29266625 46826600 58533250 93653200 117066500 146333125 234133000 292666250 468266000 585332500 1170665000 2341330000