Search a number
-
+
34132753488 = 243711099031
BaseRepresentation
bin11111110010011110…
…000111110001010000
310021002202210112101010
4133302132013301100
51024400441102423
623402543210520
72315561421561
oct376236076120
9107082715333
1034132753488
111352605a989
126746ba6a40
1332ac657672
14191b278168
15d4b873693
hex7f2787c50

34132753488 has 20 divisors (see below), whose sum is σ = 88176279968. Its totient is φ = 11377584480.

The previous prime is 34132753483. The next prime is 34132753507. The reversal of 34132753488 is 88435723143.

It is a super-2 number, since 2×341327534882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 711099031 = 34132753488 / (3 + 4 + 1 + 3 + 2 + 7 + 5 + 3 + 4 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132753481) 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 3 ways as a sum of consecutive naturals, for example, 355549468 + ... + 355549563.

Almost surely, 234132753488 is an apocalyptic number.

It is an amenable number.

34132753488 is an abundant number, since it is smaller than the sum of its proper divisors (54043526480).

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

34132753488 is a wasteful number, since it uses less digits than its factorization.

34132753488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711099042 (or 711099036 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 34132753488 in words is "thirty-four billion, one hundred thirty-two million, seven hundred fifty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 711099031 1422198062 2133297093 2844396124 4266594186 5688792248 8533188372 11377584496 17066376744 34132753488