Search a number
-
+
34267249458 = 2321347266293
BaseRepresentation
bin11111111010011111…
…001011101100110010
310021110010212122011100
4133322133023230302
51030134403440313
623424150025230
72322113546241
oct377237135462
9107403778140
1034267249458
1113594a72782
126784048216
133301488690
141931088958
15d5858e173
hex7fa7cbb32

34267249458 has 72 divisors (see below), whose sum is σ = 81695554668. Its totient is φ = 10319277888.

The previous prime is 34267249451. The next prime is 34267249459. The reversal of 34267249458 is 85494276243.

It is a happy number.

34267249458 is a `hidden beast` number, since 3 + 42 + 67 + 2 + 494 + 58 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29931422049 + 4335827409 = 173007^2 + 65847^2 .

It is a super-3 number, since 3×342672494583 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34267249451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 483760 + ... + 550052.

Almost surely, 234267249458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34267249458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40847777334).

34267249458 is an abundant number, since it is smaller than the sum of its proper divisors (47428305210).

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

34267249458 is a wasteful number, since it uses less digits than its factorization.

34267249458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66408 (or 66358 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 34267249458 in words is "thirty-four billion, two hundred sixty-seven million, two hundred forty-nine thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 423 611 846 1222 1833 2209 3666 4418 5499 6627 10998 13254 19881 28717 39762 57434 66293 86151 132586 172302 198879 258453 397758 516906 596637 861809 1193274 1723618 2585427 3115771 5170854 6231542 7756281 9347313 15512562 18694626 28041939 40505023 56083878 81010046 121515069 146441237 243030138 292882474 364545207 439323711 729090414 878647422 1317971133 1903736081 2635942266 3807472162 5711208243 11422416486 17133624729 34267249458