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334055466 = 232291275039
BaseRepresentation
bin10011111010010…
…100100000101010
3212021120202221200
4103322110200222
51141004233331
653051545030
711164265433
oct2372244052
9767522850
10334055466
111616248a8
1293a5b176
1354292974
143251a48a
151e4d95e6
hex13e9482a

334055466 has 48 divisors (see below), whose sum is σ = 754790400. Its totient is φ = 106644384.

The previous prime is 334055431. The next prime is 334055479. The reversal of 334055466 is 664550433.

334055466 is a `hidden beast` number, since 3 + 3 + 40 + 554 + 66 = 666.

It is a super-2 number, since 2×3340554662 = 223186108728954312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334055466.

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 23 ways as a sum of consecutive naturals, for example, 63775 + ... + 68813.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 2334055466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334055466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

334055466 is an abundant number, since it is smaller than the sum of its proper divisors (420734934).

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

334055466 is a wasteful number, since it uses less digits than its factorization.

334055466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 334055466 is about 18277.1843017463. The cubic root of 334055466 is about 693.8616120402.

The spelling of 334055466 in words is "three hundred thirty-four million, fifty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 87 127 174 254 261 381 522 762 1143 2286 3683 5039 7366 10078 11049 15117 22098 30234 33147 45351 66294 90702 146131 292262 438393 639953 876786 1279906 1315179 1919859 2630358 3839718 5759577 11519154 18558637 37117274 55675911 111351822 167027733 334055466