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2311342000 = 24531129551
BaseRepresentation
bin1000100111000100…
…0100011110110000
312222002012100011021
42021301010132300
514213200421000
61021204025224
7111164040262
oct21161043660
95862170137
102311342000
11a86768500
12546092214
132aab167b6
1417cd81b32
15d7db211a
hex89c447b0

2311342000 has 120 divisors (see below), whose sum is σ = 6143731776. Its totient is φ = 840400000.

The previous prime is 2311341971. The next prime is 2311342009. The reversal of 2311342000 is 2431132.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2311342009) 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 23 ways as a sum of consecutive naturals, for example, 237225 + ... + 246775.

Almost surely, 22311342000 is an apocalyptic number.

2311342000 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 2311342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071865888).

2311342000 is an abundant number, since it is smaller than the sum of its proper divisors (3832389776).

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

2311342000 is a wasteful number, since it uses less digits than its factorization.

2311342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2311342000 is about 48076.4183358120. The cubic root of 2311342000 is about 1322.1723488892.

Adding to 2311342000 its reverse (2431132), we get a palindrome (2313773132).

The spelling of 2311342000 in words is "two billion, three hundred eleven million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9551 9680 11000 12100 15125 19102 22000 24200 30250 38204 47755 48400 60500 76408 95510 105061 121000 152816 191020 210122 238775 242000 382040 420244 477550 525305 764080 840488 955100 1050610 1155671 1193875 1680976 1910200 2101220 2311342 2387750 2626525 3820400 4202440 4622684 4775500 5253050 5778355 8404880 9245368 9551000 10506100 11556710 13132625 18490736 19102000 21012200 23113420 26265250 28891775 42024400 46226840 52530500 57783550 92453680 105061000 115567100 144458875 210122000 231134200 288917750 462268400 577835500 1155671000 2311342000