Search a number
-
+
3404114100 = 2235521973101
BaseRepresentation
bin1100101011100110…
…1010100010110100
322210020102220200000
43022321222202310
523432423122400
61321441551300
7150233330622
oct31271524264
98706386600
103404114100
111497596342
127b0045530
134233365ca
1424415c512
1514dcbb600
hexcae6a8b4

3404114100 has 432 divisors, whose sum is σ = 11924028480. Its totient is φ = 839808000.

The previous prime is 3404113991. The next prime is 3404114101. The reversal of 3404114100 is 14114043.

3404114100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404114101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33704050 + ... + 33704150.

Almost surely, 23404114100 is an apocalyptic number.

3404114100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962014240).

3404114100 is an abundant number, since it is smaller than the sum of its proper divisors (8519914380).

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

3404114100 is a wasteful number, since it uses less digits than its factorization.

3404114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3404114100 is about 58344.7863994719. The cubic root of 3404114100 is about 1504.3008566356.

Adding to 3404114100 its reverse (14114043), we get a palindrome (3418228143).

The spelling of 3404114100 in words is "three billion, four hundred four million, one hundred fourteen thousand, one hundred".