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34014505300 = 22521572166529
BaseRepresentation
bin11111101011011011…
…000010100101010100
310020210112021220100121
4133223123002211110
51024130203132200
623343120521324
72312624344636
oct375333024524
9106715256317
1034014505300
1113475335306
126713480244
133290cc4c19
141909696a56
15d412b6e1a
hex7eb6c2954

34014505300 has 36 divisors (see below), whose sum is σ = 74281647580. Its totient is φ = 13519134720.

The previous prime is 34014505289. The next prime is 34014505303. The reversal of 34014505300 is 350541043.

It can be written as a sum of positive squares in 6 ways, for example, as 1575613636 + 32438891664 = 39694^2 + 180108^2 .

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 (34014505303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1067565 + ... + 1098964.

Almost surely, 234014505300 is an apocalyptic number.

It is an amenable number.

34014505300 is an abundant number, since it is smaller than the sum of its proper divisors (40267142280).

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

34014505300 is a wasteful number, since it uses less digits than its factorization.

34014505300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166700 (or 2166693 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 34014505300 in words is "thirty-four billion, fourteen million, five hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 2166529 4333058 8666116 10832645 21665290 43330580 54163225 108326450 216652900 340145053 680290106 1360580212 1700725265 3401450530 6802901060 8503626325 17007252650 34014505300