Search a number
-
+
345246660 = 2232511174367
BaseRepresentation
bin10100100101000…
…000101111000100
3220001122100101100
4110211000233010
51201340343120
654131500100
711361356013
oct2445005704
9801570340
10345246660
11167978a20
1297757630
13566b0785
1433bd0a7a
152049a490
hex14940bc4

345246660 has 72 divisors (see below), whose sum is σ = 1142459136. Its totient is φ = 83695680.

The previous prime is 345246647. The next prime is 345246661. The reversal of 345246660 is 66642543.

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

It is not an unprimeable number, because it can be changed into a prime (345246661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85204 + ... + 89163.

It is an arithmetic number, because the mean of its divisors is an integer number (15867488).

Almost surely, 2345246660 is an apocalyptic number.

345246660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345246660 is an abundant number, since it is smaller than the sum of its proper divisors (797212476).

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

345246660 is a wasteful number, since it uses less digits than its factorization.

345246660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174393 (or 174388 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 345246660 is about 18580.8142986253. The cubic root of 345246660 is about 701.5250153351.

The spelling of 345246660 in words is "three hundred forty-five million, two hundred forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 174367 348734 523101 697468 871835 1046202 1569303 1743670 1918037 2092404 2615505 3138606 3487340 3836074 5231010 5754111 6277212 7672148 7846515 9590185 10462020 11508222 15693030 17262333 19180370 23016444 28770555 31386060 34524666 38360740 57541110 69049332 86311665 115082220 172623330 345246660