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338650080 = 2535705521
BaseRepresentation
bin10100001011110…
…110001111100000
3212121020012120120
4110023312033200
51143143300310
653334240240
711251323006
oct2413661740
9777205516
10338650080
111641828aa
12954b6080
1355211082
1432d94a76
151eae5b70
hex142f63e0

338650080 has 48 divisors (see below), whose sum is σ = 1066749264. Its totient is φ = 90306560.

The previous prime is 338650063. The next prime is 338650097. The reversal of 338650080 is 80056833.

It is an interprime number because it is at equal distance from previous prime (338650063) and next prime (338650097).

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

It is a super-2 number, since 2×3386500802 = 229367753368012800, 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, 352281 + ... + 353240.

It is an arithmetic number, because the mean of its divisors is an integer number (22223943).

Almost surely, 2338650080 is an apocalyptic number.

338650080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338650080 is an abundant number, since it is smaller than the sum of its proper divisors (728099184).

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

338650080 is a wasteful number, since it uses less digits than its factorization.

338650080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705539 (or 705531 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 338650080 is about 18402.4476632865. The cubic root of 338650080 is about 697.0282726535.

The spelling of 338650080 in words is "three hundred thirty-eight million, six hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 705521 1411042 2116563 2822084 3527605 4233126 5644168 7055210 8466252 10582815 11288336 14110420 16932504 21165630 22576672 28220840 33865008 42331260 56441680 67730016 84662520 112883360 169325040 338650080