Search a number
-
+
35035430430 = 2357111347103241
BaseRepresentation
bin100000101000010001…
…100011111000011110
310100102200100021100110
4200220101203320132
51033223032233210
624032310510450
72350132150020
oct405021437036
9110380307313
1035035430430
1113949650490
126959365426
1333c467a630
1419a50d0010
15da0c2d420
hex828463e1e

35035430430 has 512 divisors, whose sum is σ = 116901937152. Its totient is φ = 6486220800.

The previous prime is 35035430411. The next prime is 35035430461. The reversal of 35035430430 is 3403453053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 145375110 + ... + 145375350.

It is an arithmetic number, because the mean of its divisors is an integer number (228324096).

Almost surely, 235035430430 is an apocalyptic number.

35035430430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35035430430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58450968576).

35035430430 is an abundant number, since it is smaller than the sum of its proper divisors (81866506722).

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

35035430430 is a wasteful number, since it uses less digits than its factorization.

35035430430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 35035430430 its reverse (3403453053), we get a palindrome (38438883483).

The spelling of 35035430430 in words is "thirty-five billion, thirty-five million, four hundred thirty thousand, four hundred thirty".