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337272012 = 223471121229
BaseRepresentation
bin10100000110100…
…101110011001100
3212111122012020000
4110012211303030
51142320201022
653244524300
711233523220
oct2406456314
9774565200
10337272012
11163421500
1294b50690
1354b4aa4c
1432b16780
151e9226ac
hex141a5ccc

337272012 has 180 divisors, whose sum is σ = 1108485840. Its totient is φ = 87531840.

The previous prime is 337271969. The next prime is 337272041. The reversal of 337272012 is 210272733.

It is a happy number.

337272012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3372720122 = 227504820157056288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 273814 + ... + 275042.

Almost surely, 2337272012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337272012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554242920).

337272012 is an abundant number, since it is smaller than the sum of its proper divisors (771213828).

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

337272012 is a wasteful number, since it uses less digits than its factorization.

337272012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 337272012 is about 18364.9669751949. The cubic root of 337272012 is about 696.0815154228.

The spelling of 337272012 in words is "three hundred thirty-seven million, two hundred seventy-two thousand, twelve".