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2034420000 = 2535441827
BaseRepresentation
bin111100101000010…
…1100100100100000
312020210010020120220
41321100230210200
513131302420000
6533512403040
7101262166434
oct17120544440
95223106526
102034420000
11954416948
124893a6480
13265639122
141542989c4
15bd9111a0
hex7942c920

2034420000 has 240 divisors, whose sum is σ = 6844334112. Its totient is φ = 528640000.

The previous prime is 2034419993. The next prime is 2034420001. The reversal of 2034420000 is 244302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2034420001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2459587 + ... + 2460413.

Almost surely, 22034420000 is an apocalyptic number.

2034420000 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 2034420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422167056).

2034420000 is an abundant number, since it is smaller than the sum of its proper divisors (4809914112).

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

2034420000 is an equidigital number, since it uses as much as digits as its factorization.

2034420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2034420000 is about 45104.5452255091. The cubic root of 2034420000 is about 1267.1077257509.

Adding to 2034420000 its reverse (244302), we get a palindrome (2034664302).

The spelling of 2034420000 in words is "two billion, thirty-four million, four hundred twenty thousand".