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2034403400 = 235210172017
BaseRepresentation
bin111100101000010…
…1000100001001000
312020210002101211002
41321100220201020
513131301402100
6533512154132
7101262100151
oct17120504110
95223071732
102034403400
11954405427
12489398948
132656316c3
14154292928
15bd90b2d5
hex79428848

2034403400 has 24 divisors (see below), whose sum is σ = 4729988370. Its totient is φ = 813761280.

The previous prime is 2034403391. The next prime is 2034403403. The reversal of 2034403400 is 43044302.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1226820676 + 807582724 = 35026^2 + 28418^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2034403403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5085809 + ... + 5086208.

Almost surely, 22034403400 is an apocalyptic number.

2034403400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034403400 is an abundant number, since it is smaller than the sum of its proper divisors (2695584970).

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

2034403400 is a wasteful number, since it uses less digits than its factorization.

2034403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172033 (or 10172024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2034403400 is about 45104.3612082025. The cubic root of 2034403400 is about 1267.1042793885.

Adding to 2034403400 its reverse (43044302), we get a palindrome (2077447702).

The spelling of 2034403400 in words is "two billion, thirty-four million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10172017 20344034 40688068 50860085 81376136 101720170 203440340 254300425 406880680 508600850 1017201700 2034403400