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334227816 = 233313119027
BaseRepresentation
bin10011111010111…
…110100101101000
3212021220112101000
4103322332211220
51141030242231
653055355000
711165614056
oct2372764550
9767815330
10334227816
1116173233a
1293b22a60
1354323250
14325631d6
151e5206e6
hex13ebe968

334227816 has 64 divisors (see below), whose sum is σ = 999835200. Its totient is φ = 102838464.

The previous prime is 334227797. The next prime is 334227851. The reversal of 334227816 is 618722433.

It is a happy number.

334227816 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 2×3342278162 = 223416465976259712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56706 + ... + 62321.

It is an arithmetic number, because the mean of its divisors is an integer number (15622425).

Almost surely, 2334227816 is an apocalyptic number.

334227816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

334227816 is an abundant number, since it is smaller than the sum of its proper divisors (665607384).

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

334227816 is a wasteful number, since it uses less digits than its factorization.

334227816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119055 (or 119045 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 334227816 is about 18281.8985884946. The cubic root of 334227816 is about 693.9809200600.

It can be divided in two parts, 334 and 227816, that added together give a triangular number (228150 = T675).

The spelling of 334227816 in words is "three hundred thirty-four million, two hundred twenty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 119027 238054 357081 476108 714162 952216 1071243 1428324 1547351 2142486 2856648 3094702 3213729 4284972 4642053 6189404 6427458 8569944 9284106 12378808 12854916 13926159 18568212 25709832 27852318 37136424 41778477 55704636 83556954 111409272 167113908 334227816