Search a number
-
+
343680660 = 223257092693
BaseRepresentation
bin10100011111000…
…010011010010100
3212221200210020100
4110133002122110
51200440240120
654034134100
711342144301
oct2437023224
9787623210
10343680660
11166aa9404
1297121330
1356282a4b
14339040a8
152028b490
hex147c2694

343680660 has 72 divisors (see below), whose sum is σ = 1044356040. Its totient is φ = 91484928.

The previous prime is 343680643. The next prime is 343680671. The reversal of 343680660 is 66086343.

It can be written as a sum of positive squares in 4 ways, for example, as 1726596 + 341954064 = 1314^2 + 18492^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 126274 + ... + 128966.

It is an arithmetic number, because the mean of its divisors is an integer number (14504945).

Almost surely, 2343680660 is an apocalyptic number.

343680660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343680660 is an abundant number, since it is smaller than the sum of its proper divisors (700675380).

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

343680660 is a wasteful number, since it uses less digits than its factorization.

343680660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 343680660 is about 18538.6261626907. The cubic root of 343680660 is about 700.4627280644.

The spelling of 343680660 in words is "three hundred forty-three million, six hundred eighty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 709 1418 2127 2693 2836 3545 4254 5386 6381 7090 8079 8508 10635 10772 12762 13465 14180 16158 21270 24237 25524 26930 31905 32316 40395 42540 48474 53860 63810 80790 96948 121185 127620 161580 242370 484740 1909337 3818674 5728011 7637348 9546685 11456022 17184033 19093370 22912044 28640055 34368066 38186740 57280110 68736132 85920165 114560220 171840330 343680660