Search a number
-
+
334989312 = 211377789
BaseRepresentation
bin10011111101111…
…000100000000000
3212100100012221120
4103331320200000
51141224124222
653123552240
711205235140
oct2375704000
9770305846
10334989312
11162102479
129422b680
135452ba38
14326c0920
151e62115c
hex13f78800

334989312 has 96 divisors (see below), whose sum is σ = 1020801600. Its totient is φ = 95698944.

The previous prime is 334989299. The next prime is 334989313. The reversal of 334989312 is 213989433.

334989312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3349893122 = 224435678308466688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334989313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39114 + ... + 46902.

It is an arithmetic number, because the mean of its divisors is an integer number (10633350).

Almost surely, 2334989312 is an apocalyptic number.

334989312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510400800).

334989312 is an abundant number, since it is smaller than the sum of its proper divisors (685812288).

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

334989312 is an equidigital number, since it uses as much as digits as its factorization.

334989312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821 (or 7801 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 334989312 is about 18302.7132414842. The cubic root of 334989312 is about 694.5075696791.

The spelling of 334989312 in words is "three hundred thirty-four million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 7789 10752 14336 15578 21504 23367 31156 43008 46734 54523 62312 93468 109046 124624 163569 186936 218092 249248 327138 373872 436184 498496 654276 747744 872368 996992 1308552 1495488 1744736 1993984 2617104 2990976 3489472 3987968 5234208 5981952 6978944 7975936 10468416 11963904 13957888 15951872 20936832 23927808 27915776 41873664 47855616 55831552 83747328 111663104 167494656 334989312