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334835340 = 223573125717
BaseRepresentation
bin10011111101010…
…010111010001100
3212100001101201220
4103331102322030
51141204212330
653120403340
711204024220
oct2375227214
9770041656
10334835340
11162007824
1294176550
13544a6928
1432680780
151e5e0710
hex13f52e8c

334835340 has 96 divisors (see below), whose sum is σ = 1106079744. Its totient is φ = 74062080.

The previous prime is 334835323. The next prime is 334835341. The reversal of 334835340 is 43538433.

It is a super-2 number, since 2×3348353402 = 224229409825831200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334835341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162 + ... + 25878.

It is an arithmetic number, because the mean of its divisors is an integer number (11521664).

Almost surely, 2334835340 is an apocalyptic number.

334835340 is a gapful number since it is divisible by the number (30) 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 334835340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553039872).

334835340 is an abundant number, since it is smaller than the sum of its proper divisors (771244404).

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

334835340 is a wasteful number, since it uses less digits than its factorization.

334835340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25767 (or 25765 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 334835340 is about 18298.5064964330. The cubic root of 334835340 is about 694.4011472715.

The spelling of 334835340 in words is "three hundred thirty-four million, eight hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 25717 51434 77151 102868 128585 154302 180019 257170 308604 360038 385755 514340 540057 720076 771510 797227 900095 1080114 1543020 1594454 1800190 2160228 2391681 2700285 3188908 3600380 3986135 4783362 5400570 5580589 7972270 9566724 10801140 11161178 11958405 15944540 16741767 22322356 23916810 27902945 33483534 47833620 55805890 66967068 83708835 111611780 167417670 334835340