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3455405850 = 2352131772003
BaseRepresentation
bin1100110111110101…
…0100111100011010
322220210221210201110
43031331110330122
524034040441400
61330513201150
7151425315351
oct31575247432
98823853643
103455405850
111513539616
128052601b6
13430b54960
1424acb0998
1515354de50
hexcdf54f1a

3455405850 has 48 divisors (see below), whose sum is σ = 9228596832. Its totient is φ = 850560960.

The previous prime is 3455405809. The next prime is 3455405879. The reversal of 3455405850 is 585045543.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3455405799 and 3455405808.

It is an unprimeable number.

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, 884052 + ... + 887951.

It is an arithmetic number, because the mean of its divisors is an integer number (192262434).

Almost surely, 23455405850 is an apocalyptic number.

3455405850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3455405850 is an abundant number, since it is smaller than the sum of its proper divisors (5773190982).

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

3455405850 is a wasteful number, since it uses less digits than its factorization.

3455405850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772031 (or 1772026 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The square root of 3455405850 is about 58782.7002612163. The cubic root of 3455405850 is about 1511.8186134625.

The spelling of 3455405850 in words is "three billion, four hundred fifty-five million, four hundred five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 1772003 3544006 5316009 8860015 10632018 17720030 23036039 26580045 44300075 46072078 53160090 69108117 88600150 115180195 132900225 138216234 230360390 265800450 345540585 575900975 691081170 1151801950 1727702925 3455405850