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344138208 = 25317210869
BaseRepresentation
bin10100100000110…
…010000111100000
3212222120000212120
4110200302013200
51201044410313
654052024240
711346061251
oct2440620740
9788500776
10344138208
11167291147
1297302080
13563b309b
14339c2b28
152032bd23
hex148321e0

344138208 has 48 divisors (see below), whose sum is σ = 956506320. Its totient is φ = 107964416.

The previous prime is 344138189. The next prime is 344138227. The reversal of 344138208 is 802831443.

It is an interprime number because it is at equal distance from previous prime (344138189) and next prime (344138227).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3441382082 = 236862212410902528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103803 + ... + 107066.

It is an arithmetic number, because the mean of its divisors is an integer number (19927215).

Almost surely, 2344138208 is an apocalyptic number.

It is an amenable number.

344138208 is an abundant number, since it is smaller than the sum of its proper divisors (612368112).

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

344138208 is a wasteful number, since it uses less digits than its factorization.

344138208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210899 (or 210891 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 344138208 is about 18550.9624548162. The cubic root of 344138208 is about 700.7734362651.

The spelling of 344138208 in words is "three hundred forty-four million, one hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 210869 421738 632607 843476 1265214 1686952 2530428 3373904 3584773 5060856 6747808 7169546 10121712 10754319 14339092 20243424 21508638 28678184 43017276 57356368 86034552 114712736 172069104 344138208