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5434284240 = 24325721121967
BaseRepresentation
bin1010000111110100…
…01001100011010000
3112000201120020112200
411003322021203100
542112134043430
62255123323200
7251444440200
oct50372114320
915021506480
105434284240
11233956a200
121077b20500
13687b15208
14397a2c400
1521c13d460
hex143e898d0

5434284240 has 1080 divisors, whose sum is σ = 24929966880. Its totient is φ = 1053803520.

The previous prime is 5434284199. The next prime is 5434284241. The reversal of 5434284240 is 424824345.

It is a super-2 number, since 2×54342842402 = 59062890402224755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5434284195 and 5434284204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434284241) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 81108687 + ... + 81108753.

Almost surely, 25434284240 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 5434284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464983440).

5434284240 is an abundant number, since it is smaller than the sum of its proper divisors (19495682640).

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

5434284240 is a wasteful number, since it uses less digits than its factorization.

5434284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 5434284240 is about 73717.5978990092. The cubic root of 5434284240 is about 1758.1156916567.

The spelling of 5434284240 in words is "five billion, four hundred thirty-four million, two hundred eighty-four thousand, two hundred forty".