Search a number
-
+
2034436404 = 22371121389173
BaseRepresentation
bin111100101000011…
…0000100100110100
312020210011002002110
41321100300210310
513131303431104
6533513011020
7101262265320
oct17120604464
95223132073
102034436404
11954428200
124893b3a70
13265643730
141542a0980
15bd915e89
hex79430934

2034436404 has 288 divisors, whose sum is σ = 6531598080. Its totient is φ = 479508480.

The previous prime is 2034436403. The next prime is 2034436423. The reversal of 2034436404 is 4046344302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034436403) 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 95 ways as a sum of consecutive naturals, for example, 11759662 + ... + 11759834.

It is an arithmetic number, because the mean of its divisors is an integer number (22679160).

Almost surely, 22034436404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034436404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265799040).

2034436404 is an abundant number, since it is smaller than the sum of its proper divisors (4497161676).

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

2034436404 is a wasteful number, since it uses less digits than its factorization.

2034436404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2034436404 is about 45104.7270693439. The cubic root of 2034436404 is about 1267.1111314028. Note that the first 4 decimals are identical.

The spelling of 2034436404 in words is "two billion, thirty-four million, four hundred thirty-six thousand, four hundred four".