Search a number
-
+
349453633473 = 32741135289831
BaseRepresentation
bin1010001010111010000…
…11110100011111000001
31020102000000122220101200
411011131003310133001
521211140112232343
6424311540051413
734150533605640
oct5053503643701
91212000586350
10349453633473
1112522551406a
1257887393b69
1326c51630c19
1412cb108b357
1591540cc4d3
hex515d0f47c1

349453633473 has 24 divisors (see below), whose sum is σ = 590945986176. Its totient is φ = 194817355200.

The previous prime is 349453633453. The next prime is 349453633511. The reversal of 349453633473 is 374336354943.

349453633473 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 536 + 3 + 34 + 73 = 666.

It is not a de Polignac number, because 349453633473 - 213 = 349453625281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349453633453) 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 23 ways as a sum of consecutive naturals, for example, 67642333 + ... + 67647498.

It is an arithmetic number, because the mean of its divisors is an integer number (24622749424).

Almost surely, 2349453633473 is an apocalyptic number.

It is an amenable number.

349453633473 is a deficient number, since it is larger than the sum of its proper divisors (241492352703).

349453633473 is a wasteful number, since it uses less digits than its factorization.

349453633473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135289885 (or 135289882 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 54.

The spelling of 349453633473 in words is "three hundred forty-nine billion, four hundred fifty-three million, six hundred thirty-three thousand, four hundred seventy-three".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 135289831 405869493 947028817 1217608479 2841086451 5546883071 8523259353 16640649213 38828181497 49921947639 116484544491 349453633473