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344395950 = 235210322291
BaseRepresentation
bin10100100001110…
…001000010101110
3220000001010102120
4110201301002232
51201131132300
654101333410
711351213553
oct2441610256
9800033376
10344395950
11167447858
1297407266
13564734b2
1433a4ca2a
152037d3a0
hex148710ae

344395950 has 48 divisors (see below), whose sum is σ = 862432896. Its totient is φ = 90943200.

The previous prime is 344395949. The next prime is 344395973. The reversal of 344395950 is 59593443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4305 + ... + 26595.

It is an arithmetic number, because the mean of its divisors is an integer number (17967352).

Almost surely, 2344395950 is an apocalyptic number.

344395950 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 344395950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431216448).

344395950 is an abundant number, since it is smaller than the sum of its proper divisors (518036946).

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

344395950 is a wasteful number, since it uses less digits than its factorization.

344395950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22409 (or 22404 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 344395950 is about 18557.9080178774. The cubic root of 344395950 is about 700.9483404849.

The spelling of 344395950 in words is "three hundred forty-four million, three hundred ninety-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 103 150 206 309 515 618 1030 1545 2575 3090 5150 7725 15450 22291 44582 66873 111455 133746 222910 334365 557275 668730 1114550 1671825 2295973 3343650 4591946 6887919 11479865 13775838 22959730 34439595 57399325 68879190 114798650 172197975 344395950