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343318980 = 223519614937
BaseRepresentation
bin10100011101101…
…010000111000100
3212221000102002210
4110131222013010
51200342201410
654022303420
711336106654
oct2435520704
9787012083
10343318980
111668816a4
1296b87b70
1356187234
143384c364
1520219220
hex1476a1c4

343318980 has 96 divisors (see below), whose sum is σ = 1028684160. Its totient is φ = 85294080.

The previous prime is 343318933. The next prime is 343318991. The reversal of 343318980 is 89813343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67072 + ... + 72008.

It is an arithmetic number, because the mean of its divisors is an integer number (10715460).

Almost surely, 2343318980 is an apocalyptic number.

343318980 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 343318980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514342080).

343318980 is an abundant number, since it is smaller than the sum of its proper divisors (685365180).

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

343318980 is a wasteful number, since it uses less digits than its factorization.

343318980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 343318980 is about 18528.8688267795. The cubic root of 343318980 is about 700.2169259662.

The spelling of 343318980 in words is "three hundred forty-three million, three hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1830 2318 3477 3660 4636 4937 5795 6954 9874 11590 13908 14811 17385 19748 23180 24685 29622 34770 49370 59244 69540 74055 93803 98740 148110 187606 281409 296220 301157 375212 469015 562818 602314 903471 938030 1125636 1204628 1407045 1505785 1806942 1876060 2814090 3011570 3613884 4517355 5628180 5721983 6023140 9034710 11443966 17165949 18069420 22887932 28609915 34331898 57219830 68663796 85829745 114439660 171659490 343318980