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34411240100 = 22521918111179
BaseRepresentation
bin100000000011000100…
…011101101010100100
310021211011211010012002
4200003010131222210
51030433234140400
623450332144432
72325512500106
oct400304355244
9107734733162
1034411240100
1113659280006
126804308118
133325262243
14194624b576
15d66032ed5
hex80311daa4

34411240100 has 36 divisors (see below), whose sum is σ = 78602521200. Its totient is φ = 13040048160.

The previous prime is 34411240069. The next prime is 34411240109. The reversal of 34411240100 is 104211443.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34411240109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9053690 + ... + 9057489.

Almost surely, 234411240100 is an apocalyptic number.

It is an amenable number.

34411240100 is an abundant number, since it is smaller than the sum of its proper divisors (44191281100).

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

34411240100 is a wasteful number, since it uses less digits than its factorization.

34411240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18111212 (or 18111205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34411240100 its reverse (104211443), we get a palindrome (34515451543).

The spelling of 34411240100 in words is "thirty-four billion, four hundred eleven million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 18111179 36222358 72444716 90555895 181111790 344112401 362223580 452779475 688224802 905558950 1376449604 1720562005 1811117900 3441124010 6882248020 8602810025 17205620050 34411240100