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2340044300 = 22521131163421
BaseRepresentation
bin1000101101111010…
…0011111000001100
320001002012120022102
42023132203320030
514243022404200
61024111134232
7111663022406
oct21336437014
96032176272
102340044300
11aa0991a10
12553814378
132b3a55bc9
14182ad3b76
15da6816d5
hex8b7a3e0c

2340044300 has 144 divisors (see below), whose sum is σ = 5766964224. Its totient is φ = 816480000.

The previous prime is 2340044297. The next prime is 2340044303. The reversal of 2340044300 is 34400432.

It is a happy number.

2340044300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2340044297) and next prime (2340044303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2340044303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5558090 + ... + 5558510.

Almost surely, 22340044300 is an apocalyptic number.

2340044300 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 2340044300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883482112).

2340044300 is an abundant number, since it is smaller than the sum of its proper divisors (3426919924).

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

2340044300 is a wasteful number, since it uses less digits than its factorization.

2340044300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2340044300 is about 48374.0043825193. The cubic root of 2340044300 is about 1327.6227721744.

Adding to 2340044300 its reverse (34400432), we get a palindrome (2374444732).

The spelling of 2340044300 in words is "two billion, three hundred forty million, forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 163 220 275 310 326 341 421 550 620 652 682 775 815 842 1100 1364 1550 1630 1684 1705 1793 2105 3100 3260 3410 3586 4075 4210 4631 5053 6820 7172 8150 8420 8525 8965 9262 10106 10525 13051 16300 17050 17930 18524 20212 21050 23155 25265 26102 34100 35860 42100 44825 46310 50530 52204 55583 65255 68623 89650 92620 101060 111166 115775 126325 130510 137246 143561 179300 222332 231550 252650 261020 274492 277915 287122 326275 343115 463100 505300 555830 574244 652550 686230 717805 754853 1111660 1305100 1372460 1389575 1435610 1509706 1715575 2127313 2779150 2871220 3019412 3431150 3589025 3774265 4254626 5558300 6862300 7178050 7548530 8509252 10636565 14356100 15097060 18871325 21273130 23400443 37742650 42546260 46800886 53182825 75485300 93601772 106365650 117002215 212731300 234004430 468008860 585011075 1170022150 2340044300