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343249980 = 22353125953
BaseRepresentation
bin10100011101011…
…001010000111100
3212220212220110020
4110131121100330
51200332444410
654021012140
711335401543
oct2435312074
9786786406
10343249980
11166834877
1296b54050
13561619c8
143383115a
1520203a70
hex1475943c

343249980 has 72 divisors (see below), whose sum is σ = 993270096. Its totient is φ = 88565760.

The previous prime is 343249969. The next prime is 343249987. The reversal of 343249980 is 89942343.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343249987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54684 + ... + 60636.

It is an arithmetic number, because the mean of its divisors is an integer number (13795418).

Almost surely, 2343249980 is an apocalyptic number.

343249980 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 343249980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496635048).

343249980 is an abundant number, since it is smaller than the sum of its proper divisors (650020116).

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

343249980 is a wasteful number, since it uses less digits than its factorization.

343249980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 343249980 is about 18527.0067738963. The cubic root of 343249980 is about 700.1700131263.

The spelling of 343249980 in words is "three hundred forty-three million, two hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 961 1860 1922 2883 3844 4805 5766 5953 9610 11532 11906 14415 17859 19220 23812 28830 29765 35718 57660 59530 71436 89295 119060 178590 184543 357180 369086 553629 738172 922715 1107258 1845430 2214516 2768145 3690860 5536290 5720833 11072580 11441666 17162499 22883332 28604165 34324998 57208330 68649996 85812495 114416660 171624990 343249980