Search a number
-
+
34006303476 = 22324123039501
BaseRepresentation
bin11111101010111011…
…110000001011110100
310020202221212012120100
4133222323300023310
51024121103202401
623342225034100
72312464544625
oct375273601364
9106687765510
1034006303476
1113470743142
126710785930
13328c3b2982
14190855da4c
15d406e6b86
hex7eaef02f4

34006303476 has 36 divisors (see below), whose sum is σ = 88056976644. Its totient is φ = 11058960000.

The previous prime is 34006303469. The next prime is 34006303489. The reversal of 34006303476 is 67430360043.

34006303476 is a `hidden beast` number, since 340 + 0 + 6 + 303 + 4 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1929493476 + 32076810000 = 43926^2 + 179100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×340063034762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34006303476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11518275 + ... + 11521226.

It is an arithmetic number, because the mean of its divisors is an integer number (2446027129).

Almost surely, 234006303476 is an apocalyptic number.

34006303476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34006303476 is an abundant number, since it is smaller than the sum of its proper divisors (54050673168).

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

34006303476 is a wasteful number, since it uses less digits than its factorization.

34006303476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23039552 (or 23039547 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 34006303476 in words is "thirty-four billion, six million, three hundred three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 23039501 46079002 69118503 92158004 138237006 207355509 276474012 414711018 829422036 944619541 1889239082 2833858623 3778478164 5667717246 8501575869 11335434492 17003151738 34006303476