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334506666 = 2313191311723
BaseRepresentation
bin10011111100000…
…010101010101010
3212022102200212210
4103330002222222
51141113203131
653105345550
711201155044
oct2374025252
9768380783
10334506666
1116190289a
12940382b6
13543c0150
14325d6a94
151e578146
hex13f02aaa

334506666 has 64 divisors (see below), whose sum is σ = 764628480. Its totient is φ = 96707520.

The previous prime is 334506629. The next prime is 334506701. The reversal of 334506666 is 666605433.

It is a happy number.

It is a super-2 number, since 2×3345066662 = 223789419196871112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193281 + ... + 195003.

It is an arithmetic number, because the mean of its divisors is an integer number (11947320).

Almost surely, 2334506666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334506666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382314240).

334506666 is an abundant number, since it is smaller than the sum of its proper divisors (430121814).

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

334506666 is a wasteful number, since it uses less digits than its factorization.

334506666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891.

The product of its (nonzero) digits is 233280, while the sum is 39.

The square root of 334506666 is about 18289.5233945557. The cubic root of 334506666 is about 694.1738650889.

The spelling of 334506666 in words is "three hundred thirty-four million, five hundred six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 131 247 262 393 494 741 786 1482 1703 1723 2489 3406 3446 4978 5109 5169 7467 10218 10338 14934 22399 32357 32737 44798 64714 65474 67197 97071 98211 134394 194142 196422 225713 425581 451426 677139 851162 1276743 1354278 2553486 2934269 4288547 5868538 8577094 8802807 12865641 17605614 25731282 55751111 111502222 167253333 334506666