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2345240000 = 265458631
BaseRepresentation
bin1000101111001001…
…1000010111000000
320001102222112110202
42023302120113000
514300340140000
61024414344332
7112055132255
oct21362302700
96042875422
102345240000
11aa3910584
125554bb0a8
132b4b54a9c
1418368742c
15dad5add5
hex8bc985c0

2345240000 has 70 divisors (see below), whose sum is σ = 5815532184. Its totient is φ = 938080000.

The previous prime is 2345239973. The next prime is 2345240003. The reversal of 2345240000 is 425432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345240003) 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 9 ways as a sum of consecutive naturals, for example, 10685 + ... + 69315.

Almost surely, 22345240000 is an apocalyptic number.

2345240000 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 2345240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907766092).

2345240000 is an abundant number, since it is smaller than the sum of its proper divisors (3470292184).

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

2345240000 is an frugal number, since it uses more digits than its factorization.

2345240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58663 (or 58638 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2345240000 is about 48427.6780364287. The cubic root of 2345240000 is about 1328.6046382969.

Adding to 2345240000 its reverse (425432), we get a palindrome (2345665432).

The spelling of 2345240000 in words is "two billion, three hundred forty-five million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 58631 117262 234524 293155 469048 586310 938096 1172620 1465775 1876192 2345240 2931550 3752384 4690480 5863100 7328875 9380960 11726200 14657750 18761920 23452400 29315500 36644375 46904800 58631000 73288750 93809600 117262000 146577500 234524000 293155000 469048000 586310000 1172620000 2345240000