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434113344 = 2634721709
BaseRepresentation
bin11001111000000…
…000101101000000
31010020212020120000
4121320000231000
51342113111334
6111024320000
713520621400
oct3170005500
91106766500
10434113344
11203055865
12101473000
136bc26902
1441924800
15281a1299
hex19e00b40

434113344 has 210 divisors, whose sum is σ = 1497821490. Its totient is φ = 123959808.

The previous prime is 434113333. The next prime is 434113357. The reversal of 434113344 is 443311434.

It can be written as a sum of positive squares in only one way, i.e., 311169600 + 122943744 = 17640^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253162 + ... + 254870.

Almost surely, 2434113344 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 434113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748910745).

434113344 is an abundant number, since it is smaller than the sum of its proper divisors (1063708146).

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

434113344 is a wasteful number, since it uses less digits than its factorization.

434113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1721 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 434113344 is about 20835.3868214631. The cubic root of 434113344 is about 757.1833320037.

Adding to 434113344 its reverse (443311434), we get a palindrome (877424778).

The spelling of 434113344 in words is "four hundred thirty-four million, one hundred thirteen thousand, three hundred forty-four".