Search a number
-
+
354348753409 = 7349302347981
BaseRepresentation
bin1010010100000001101…
…01001110001000000001
31020212122011200202120001
411022000311032020001
521301201240102114
6430441403320001
734413043464430
oct5120065161001
91225564622501
10354348753409
111273076a7132
1258812820001
132755182a9b1
141321724b117
15933dc18374
hex5280d4e201

354348753409 has 16 divisors (see below), whose sum is σ = 406273190400. Its totient is φ = 302750729280.

The previous prime is 354348753371. The next prime is 354348753431. The reversal of 354348753409 is 904357843453.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 354348753409 - 213 = 354348745217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 354348753409.

It is not an unprimeable number, because it can be changed into a prime (354348753509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7361199 + ... + 7409179.

It is an arithmetic number, because the mean of its divisors is an integer number (25392074400).

Almost surely, 2354348753409 is an apocalyptic number.

It is an amenable number.

354348753409 is a deficient number, since it is larger than the sum of its proper divisors (51924436991).

354348753409 is a wasteful number, since it uses less digits than its factorization.

354348753409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51360.

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 354348753409 in words is "three hundred fifty-four billion, three hundred forty-eight million, seven hundred fifty-three thousand, four hundred nine".

Divisors: 1 7 349 2443 3023 21161 47981 335867 1055027 7385189 16745369 117217583 145046563 1015325941 50621250487 354348753409