Search a number
-
+
343143660 = 223529199991
BaseRepresentation
bin10100011100111…
…111010011101100
3212220200111121110
4110130333103230
51200321044120
654014432020
711334446556
oct2434772354
9786614543
10343143660
11166771a02
1296b02610
13561254b2
14338044d6
15201d22e0
hex1473f4ec

343143660 has 96 divisors (see below), whose sum is σ = 999936000. Its totient is φ = 87816960.

The previous prime is 343143659. The next prime is 343143707. The reversal of 343143660 is 66341343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345765 + ... + 346755.

It is an arithmetic number, because the mean of its divisors is an integer number (10416000).

Almost surely, 2343143660 is an apocalyptic number.

343143660 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 343143660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

343143660 is an abundant number, since it is smaller than the sum of its proper divisors (656792340).

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

343143660 is a wasteful number, since it uses less digits than its factorization.

343143660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 343143660 is about 18524.1372268724. The cubic root of 343143660 is about 700.0977142504.

The spelling of 343143660 in words is "three hundred forty-three million, one hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 199 290 348 398 435 580 597 796 870 991 995 1194 1740 1982 1990 2388 2973 2985 3964 3980 4955 5771 5946 5970 9910 11542 11892 11940 14865 17313 19820 23084 28739 28855 29730 34626 57478 57710 59460 69252 86217 86565 114956 115420 143695 172434 173130 197209 287390 344868 346260 394418 431085 574780 591627 788836 862170 986045 1183254 1724340 1972090 2366508 2958135 3944180 5719061 5916270 11438122 11832540 17157183 22876244 28595305 34314366 57190610 68628732 85785915 114381220 171571830 343143660