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1234404020 = 225233078741
BaseRepresentation
bin100100110010011…
…1000001010110100
310012000202012222102
41021210320022310
510012001412040
6322253321232
742406155353
oct11144701264
93160665872
101234404020
11583875013
122a5496218
1316897bba5
14b9d2799a
1573584515
hex499382b4

1234404020 has 48 divisors (see below), whose sum is σ = 2714076288. Its totient is φ = 470701440.

The previous prime is 1234403999. The next prime is 1234404029. The reversal of 1234404020 is 204044321.

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

It is a junction number, because it is equal to n+sod(n) for n = 1234403983 and 1234404001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234404029) 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 15 ways as a sum of consecutive naturals, for example, 136850 + ... + 145590.

It is an arithmetic number, because the mean of its divisors is an integer number (56543256).

Almost surely, 21234404020 is an apocalyptic number.

1234404020 is a gapful number since it is divisible by the number (10) 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 1234404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357038144).

1234404020 is an abundant number, since it is smaller than the sum of its proper divisors (1479672268).

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

1234404020 is a wasteful number, since it uses less digits than its factorization.

1234404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1234404020 is about 35134.0862980667. The cubic root of 1234404020 is about 1072.7185131169.

Adding to 1234404020 its reverse (204044321), we get a palindrome (1438448341).

The spelling of 1234404020 in words is "one billion, two hundred thirty-four million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 307 460 614 1228 1535 3070 6140 7061 8741 14122 17482 28244 34964 35305 43705 70610 87410 141220 174820 201043 402086 804172 1005215 2010430 2683487 4020860 5366974 10733948 13417435 26834870 53669740 61720201 123440402 246880804 308601005 617202010 1234404020