Search a number
-
+
345578268 = 223729141863
BaseRepresentation
bin10100100110010…
…001101100011100
3220002021012021010
4110212101230130
51201432001033
654142535220
711364236550
oct2446215434
9802235233
10345578268
11168085082
1297897510
13567986a9
1433c79860
1520513863
hex14991b1c

345578268 has 48 divisors (see below), whose sum is σ = 953326080. Its totient is φ = 95331264.

The previous prime is 345578257. The next prime is 345578269. The reversal of 345578268 is 862875543.

It is a Smith number, since the sum of its digits (48) 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 (345578269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68496 + ... + 73367.

It is an arithmetic number, because the mean of its divisors is an integer number (19860960).

Almost surely, 2345578268 is an apocalyptic number.

It is an amenable number.

345578268 is an abundant number, since it is smaller than the sum of its proper divisors (607747812).

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

345578268 is a wasteful number, since it uses less digits than its factorization.

345578268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141906 (or 141904 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 345578268 is about 18589.7355548701. The cubic root of 345578268 is about 701.7495474291.

The spelling of 345578268 in words is "three hundred forty-five million, five hundred seventy-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 141863 283726 425589 567452 851178 993041 1702356 1986082 2979123 3972164 4114027 5958246 8228054 11916492 12342081 16456108 24684162 28798189 49368324 57596378 86394567 115192756 172789134 345578268