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34275338496 = 283272192292
BaseRepresentation
bin11111111010111110…
…000010100100000000
310021110201002121020100
4133322332002210000
51030143441312441
623425035242400
72322242366400
oct377276024400
9107421077210
1034275338496
1113599598133
1267868a9400
13330305b4a9
141932192800
15d5913acb6
hex7faf82900

34275338496 has 729 divisors, whose sum is σ = 125655713001. Its totient is φ = 8957620224.

The previous prime is 34275338483. The next prime is 34275338497. The reversal of 34275338496 is 69483357243.

34275338496 = 13 + 23 + ... + 6083.

The square root of 34275338496 is 185136.

It is a perfect power (a square), and thus also a powerful number.

34275338496 is a `hidden beast` number, since 3 + 4 + 27 + 533 + 84 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17973156096 + 16302182400 = 134064^2 + 127680^2 .

Its product of digits (13063680) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (34275338497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1181908210 + ... + 1181908238.

Almost surely, 234275338496 is an apocalyptic number.

34275338496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34275338496 is the 185136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34275338496

34275338496 is an abundant number, since it is smaller than the sum of its proper divisors (91380374505).

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

34275338496 is a wasteful number, since it uses less digits than its factorization.

34275338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 60 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 34275338496 in words is "thirty-four billion, two hundred seventy-five million, three hundred thirty-eight thousand, four hundred ninety-six".