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2342423040 = 29352389149
BaseRepresentation
bin1000101110011110…
…1000101000000000
320001020200102022220
42023213220220000
514244130014130
61024234131040
7112022160456
oct21347505000
96036612286
102342423040
11aa2267111
12554580a80
132b43a9849
141831529d6
15da9a1410
hex8b9e8a00

2342423040 has 320 divisors, whose sum is σ = 7954848000. Its totient is φ = 586809344.

The previous prime is 2342423011. The next prime is 2342423053. The reversal of 2342423040 is 403242432.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2342423040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15720886 + ... + 15721034.

It is an arithmetic number, because the mean of its divisors is an integer number (24858900).

Almost surely, 22342423040 is an apocalyptic number.

2342423040 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 2342423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977424000).

2342423040 is an abundant number, since it is smaller than the sum of its proper divisors (5612424960).

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

2342423040 is a wasteful number, since it uses less digits than its factorization.

2342423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2342423040 is about 48398.5851032858. The cubic root of 2342423040 is about 1328.0724787461.

Adding to 2342423040 its reverse (403242432), we get a palindrome (2745665472).

It can be divided in two parts, 23424 and 23040, that added together give a palindrome (46464).

The spelling of 2342423040 in words is "two billion, three hundred forty-two million, four hundred twenty-three thousand, forty".