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2340648200 = 23521123112
BaseRepresentation
bin1000101110000011…
…0111010100001000
320001010100020201002
42023200313110020
514243201220300
61024132114132
7112001116142
oct21340672410
96033306632
102340648200
11aa1264700
12553a65948
132b3c07a47
14182c0dc92
15da7505d5
hex8b837508

2340648200 has 108 divisors (see below), whose sum is σ = 6001005885. Its totient is φ = 848408000.

The previous prime is 2340648187. The next prime is 2340648217. The reversal of 2340648200 is 28460432.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2293835236 + 46812964 = 47894^2 + 6842^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34210.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7526045 + ... + 7526355.

Almost surely, 22340648200 is an apocalyptic number.

2340648200 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 2340648200

2340648200 is an abundant number, since it is smaller than the sum of its proper divisors (3660357685).

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

2340648200 is a wasteful number, since it uses less digits than its factorization.

2340648200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2340648200 is about 48380.2459687836. The cubic root of 2340648200 is about 1327.7369697891.

The spelling of 2340648200 in words is "two billion, three hundred forty million, six hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 311 440 484 550 605 622 968 1100 1210 1244 1555 2200 2420 2488 3025 3110 3421 4840 6050 6220 6842 7775 12100 12440 13684 15550 17105 24200 27368 31100 34210 37631 62200 68420 75262 85525 96721 136840 150524 171050 188155 193442 301048 342100 376310 386884 483605 684200 752620 773768 940775 967210 1063931 1505240 1881550 1934420 2127862 2418025 3763100 3868840 4255724 4836050 5319655 7526200 8511448 9672100 10639310 11703241 19344200 21278620 23406482 26598275 42557240 46812964 53196550 58516205 93625928 106393100 117032410 212786200 234064820 292581025 468129640 585162050 1170324100 2340648200