Search a number
-
+
344515305453 = 311163149342899
BaseRepresentation
bin1010000001101101011…
…01100101111111101101
31012221020212022211212220
411000312231211333231
521121031404233303
6422133530345553
733614260531104
oct5006655457755
91187225284786
10344515305453
111231209aa140
125692958b2b9
13266454b6337
141296328103b
158e657a9053
hex5036b65fed

344515305453 has 32 divisors (see below), whose sum is σ = 504536947200. Its totient is φ = 207372363840.

The previous prime is 344515305391. The next prime is 344515305457. The reversal of 344515305453 is 354503515443.

It is a happy number.

It is not a de Polignac number, because 344515305453 - 26 = 344515305389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344515305457) 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 31 ways as a sum of consecutive naturals, for example, 8009398 + ... + 8052296.

It is an arithmetic number, because the mean of its divisors is an integer number (15766779600).

Almost surely, 2344515305453 is an apocalyptic number.

344515305453 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

344515305453 is a deficient number, since it is larger than the sum of its proper divisors (160021641747).

344515305453 is a wasteful number, since it uses less digits than its factorization.

344515305453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44569.

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 344515305453 in words is "three hundred forty-four billion, five hundred fifteen million, three hundred five thousand, four hundred fifty-three".

Divisors: 1 3 11 33 163 489 1493 1793 4479 5379 16423 42899 49269 128697 243359 471889 730077 1415667 2676949 6992537 8030847 20977611 64048207 76917907 192144621 230753721 704530277 2113590831 10439857741 31319573223 114838435151 344515305453