Search a number
-
+
34111203400 = 23522331435563
BaseRepresentation
bin11111110001001011…
…111010100001001000
310021001021020200012201
4133301023322201020
51024324432002100
623400453245544
72315210305411
oct376113724110
9107037220181
1034111203400
1113514980a9a
12673b9338b4
1332a8050831
141918468808
15d49a1836a
hex7f12fa848

34111203400 has 192 divisors, whose sum is σ = 87428689920. Its totient is φ = 12334291200.

The previous prime is 34111203361. The next prime is 34111203403. The reversal of 34111203400 is 430211143.

It is not an unprimeable number, because it can be changed into a prime (34111203403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6129019 + ... + 6134581.

It is an arithmetic number, because the mean of its divisors is an integer number (455357760).

Almost surely, 234111203400 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 34111203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43714344960).

34111203400 is an abundant number, since it is smaller than the sum of its proper divisors (53317486520).

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

34111203400 is a wasteful number, since it uses less digits than its factorization.

34111203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34111203400 its reverse (430211143), we get a palindrome (34541414543).

The spelling of 34111203400 in words is "thirty-four billion, one hundred eleven million, two hundred three thousand, four hundred".