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1290434814 = 23416348869
BaseRepresentation
bin100110011101010…
…0111100011111110
310022221011212210000
41030322213203332
510120322403224
6332014255130
743656341424
oct11472474376
93287155700
101290434814
11602464859
123001b74a6
131774692c6
14c3551114
15784510c9
hex4cea78fe

1290434814 has 40 divisors (see below), whose sum is σ = 2909328840. Its totient is φ = 427497264.

The previous prime is 1290434813. The next prime is 1290434819. The reversal of 1290434814 is 4184340921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290434813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1972 + ... + 50840.

It is an arithmetic number, because the mean of its divisors is an integer number (72733221).

Almost surely, 21290434814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290434814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454664420).

1290434814 is an abundant number, since it is smaller than the sum of its proper divisors (1618894026).

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

1290434814 is a wasteful number, since it uses less digits than its factorization.

1290434814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49046 (or 49037 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1290434814 is about 35922.6225935691. The cubic root of 1290434814 is about 1088.7095279744.

The spelling of 1290434814 in words is "one billion, two hundred ninety million, four hundred thirty-four thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 326 489 978 1467 2934 4401 8802 13203 26406 48869 97738 146607 293214 439821 879642 1319463 2638926 3958389 7916778 7965647 15931294 23896941 47793882 71690823 143381646 215072469 430144938 645217407 1290434814