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34052330106 = 2323827349429
BaseRepresentation
bin11111101101101011…
…010101001001111010
310020220011110121020100
4133231223111021322
51024214344030411
623350551340230
72313564013224
oct375553251172
9106804417210
1034052330106
111349471a683
126724081676
133298aa9672
141910701414
15d44789456
hex7edad527a

34052330106 has 24 divisors (see below), whose sum is σ = 73783468980. Its totient is φ = 11350250496.

The previous prime is 34052330101. The next prime is 34052330107. The reversal of 34052330106 is 60103325043.

It is a happy number.

34052330106 is a `hidden beast` number, since 3 + 4 + 0 + 523 + 30 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31332186081 + 2720144025 = 177009^2 + 52155^2 .

It is a super-2 number, since 2×340523301062 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34052330106.

It is not an unprimeable number, because it can be changed into a prime (34052330101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664200 + ... + 713628.

Almost surely, 234052330106 is an apocalyptic number.

34052330106 is an abundant number, since it is smaller than the sum of its proper divisors (39731138874).

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

34052330106 is a wasteful number, since it uses less digits than its factorization.

34052330106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87710 (or 87707 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 34052330106 its reverse (60103325043), we get a palindrome (94155655149).

The spelling of 34052330106 in words is "thirty-four billion, fifty-two million, three hundred thirty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 38273 49429 76546 98858 114819 148287 229638 296574 344457 444861 688914 889722 1891796117 3783592234 5675388351 11350776702 17026165053 34052330106