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349609950 = 232522573023
BaseRepresentation
bin10100110101101…
…001111111011110
3220100212000200200
4110311221333132
51204000004300
654405204330
711443430664
oct2465517736
9810760620
10349609950
1116a389148
12991006a6
135757a7c1
1434608c34
1520a5d200
hex14d69fde

349609950 has 72 divisors (see below), whose sum is σ = 943252128. Its totient is φ = 92835840.

The previous prime is 349609933. The next prime is 349609951. The reversal of 349609950 is 59906943.

It is a happy number.

349609950 is a `hidden beast` number, since 34 + 9 + 609 + 9 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 349609896 and 349609905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349609951) 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 35 ways as a sum of consecutive naturals, for example, 114139 + ... + 117161.

It is an arithmetic number, because the mean of its divisors is an integer number (13100724).

Almost surely, 2349609950 is an apocalyptic number.

349609950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349609950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471626064).

349609950 is an abundant number, since it is smaller than the sum of its proper divisors (593642178).

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

349609950 is a wasteful number, since it uses less digits than its factorization.

349609950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 349609950 is about 18697.8595031624. The cubic root of 349609950 is about 704.4679855287.

The spelling of 349609950 in words is "three hundred forty-nine million, six hundred nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 257 450 514 771 1285 1542 2313 2570 3023 3855 4626 6046 6425 7710 9069 11565 12850 15115 18138 19275 23130 27207 30230 38550 45345 54414 57825 75575 90690 115650 136035 151150 226725 272070 453450 680175 776911 1360350 1553822 2330733 3884555 4661466 6992199 7769110 11653665 13984398 19422775 23307330 34960995 38845550 58268325 69921990 116536650 174804975 349609950