Search a number
-
+
34043340400 = 245285108351
BaseRepresentation
bin11111101101001001…
…000010011001110000
310020212112112212200021
4133231021002121300
51024210043343100
623350030533224
72313424422166
oct375511023160
9106775485607
1034043340400
111348a63a573
126721067214
133296c7c904
14190d441236
15d43ab0a1a
hex7ed242670

34043340400 has 30 divisors (see below), whose sum is σ = 81789126272. Its totient is φ = 13617336000.

The previous prime is 34043340389. The next prime is 34043340407. The reversal of 34043340400 is 404334043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043340407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42553776 + ... + 42554575.

Almost surely, 234043340400 is an apocalyptic number.

It is an amenable number.

34043340400 is an abundant number, since it is smaller than the sum of its proper divisors (47745785872).

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

34043340400 is a wasteful number, since it uses less digits than its factorization.

34043340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85108369 (or 85108358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 34043340400 its reverse (404334043), we get a palindrome (34447674443).

The spelling of 34043340400 in words is "thirty-four billion, forty-three million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 85108351 170216702 340433404 425541755 680866808 851083510 1361733616 1702167020 2127708775 3404334040 4255417550 6808668080 8510835100 17021670200 34043340400