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337420128 = 2533514793
BaseRepresentation
bin10100000111001…
…001111101100000
3212111220201101210
4110013021331200
51142334421003
653252030120
711235011103
oct2407117540
9774821353
10337420128
11163512811
1295002340
1354ba02a6
1432b5473a
151e951503
hex141c9f60

337420128 has 24 divisors (see below), whose sum is σ = 885728088. Its totient is φ = 112473344.

The previous prime is 337420121. The next prime is 337420159. The reversal of 337420128 is 821024733.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3374201282 = 227704685559072768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337420095 and 337420104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337420121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1757301 + ... + 1757492.

It is an arithmetic number, because the mean of its divisors is an integer number (36905337).

Almost surely, 2337420128 is an apocalyptic number.

It is an amenable number.

337420128 is an abundant number, since it is smaller than the sum of its proper divisors (548307960).

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

337420128 is a wasteful number, since it uses less digits than its factorization.

337420128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514806 (or 3514798 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 337420128 is about 18368.9991017475. Note that the first 3 decimals coincide. The cubic root of 337420128 is about 696.1833973037.

The spelling of 337420128 in words is "three hundred thirty-seven million, four hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3514793 7029586 10544379 14059172 21088758 28118344 42177516 56236688 84355032 112473376 168710064 337420128