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1234000420 = 225173629413
BaseRepresentation
bin100100110001101…
…0101101000100100
310011222222201100021
41021203111220210
510011401003140
6322240524524
742402554602
oct11143255044
93158881307
101234000420
11583619864
122a5320744
1316886a283
14b9c60872
1573504b4a
hex498d5a24

1234000420 has 24 divisors (see below), whose sum is σ = 2743836984. Its totient is φ = 464564736.

The previous prime is 1234000381. The next prime is 1234000421. The reversal of 1234000420 is 240004321.

It can be written as a sum of positive squares in 4 ways, for example, as 541679076 + 692321344 = 23274^2 + 26312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1234000394 and 1234000403.

It is not an unprimeable number, because it can be changed into a prime (1234000421) 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 7 ways as a sum of consecutive naturals, for example, 1814367 + ... + 1815046.

It is an arithmetic number, because the mean of its divisors is an integer number (114326541).

Almost surely, 21234000420 is an apocalyptic number.

1234000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234000420 is an abundant number, since it is smaller than the sum of its proper divisors (1509836564).

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

1234000420 is a wasteful number, since it uses less digits than its factorization.

1234000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629439 (or 3629437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1234000420 is about 35128.3421185800. The cubic root of 1234000420 is about 1072.6015885717.

Adding to 1234000420 its reverse (240004321), we get a palindrome (1474004741).

The spelling of 1234000420 in words is "one billion, two hundred thirty-four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3629413 7258826 14517652 18147065 36294130 61700021 72588260 123400042 246800084 308500105 617000210 1234000420