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1084348434 = 2313172293571
BaseRepresentation
bin100000010100001…
…1101100000010010
32210120101121102010
41000220131200102
54210043122214
6255333203350
735604544461
oct10050354022
92716347363
101084348434
115070a5034
12263190556
131438608c0
14a40269d8
15652e3659
hex40a1d812

1084348434 has 64 divisors (see below), whose sum is σ = 2484397440. Its totient is φ = 312560640.

The previous prime is 1084348429. The next prime is 1084348469. The reversal of 1084348434 is 4348434801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1084348392 and 1084348401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301869 + ... + 305439.

It is an arithmetic number, because the mean of its divisors is an integer number (38818710).

Almost surely, 21084348434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084348434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242198720).

1084348434 is an abundant number, since it is smaller than the sum of its proper divisors (1400049006).

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

1084348434 is a wasteful number, since it uses less digits than its factorization.

1084348434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835.

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 1084348434 is about 32929.4463057003. The cubic root of 1084348434 is about 1027.3607087955.

The spelling of 1084348434 in words is "one billion, eighty-four million, three hundred forty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 229 442 458 663 687 1326 1374 2977 3571 3893 5954 7142 7786 8931 10713 11679 17862 21426 23358 46423 50609 60707 92846 101218 121414 139269 151827 182121 278538 303654 364242 789191 817759 1578382 1635518 2367573 2453277 4735146 4906554 10630867 13901903 21261734 27803806 31892601 41705709 63785202 83411418 180724739 361449478 542174217 1084348434