Search a number
-
+
334312660 = 225111579679
BaseRepresentation
bin10011111011010…
…011010011010100
3212022001211202101
4103323103103110
51141041001120
653101251444
711166416323
oct2373232324
9768054671
10334312660
11161790060
1293b63b84
1354352a56
14325860ba
151e53a90a
hex13ed34d4

334312660 has 48 divisors (see below), whose sum is σ = 770837760. Its totient is φ = 120781440.

The previous prime is 334312651. The next prime is 334312663. The reversal of 334312660 is 66213433.

It is a super-2 number, since 2×3343126602 = 223529909272551200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334312663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29701 + ... + 39379.

It is an arithmetic number, because the mean of its divisors is an integer number (16059120).

Almost surely, 2334312660 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 334312660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385418880).

334312660 is an abundant number, since it is smaller than the sum of its proper divisors (436525100).

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

334312660 is a wasteful number, since it uses less digits than its factorization.

334312660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 334312660 is about 18284.2188785849. The cubic root of 334312660 is about 694.0396376301.

The spelling of 334312660 in words is "three hundred thirty-four million, three hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 6908 8635 9679 17270 19358 34540 38716 48395 96790 106469 193580 212938 425876 532345 1064690 1519603 2129380 3039206 6078412 7598015 15196030 16715633 30392060 33431266 66862532 83578165 167156330 334312660