Search a number
-
+
345179241 = 321125632
BaseRepresentation
bin10100100100110…
…000010001101001
3220001111220220100
4110210300101221
51201331213431
654130220013
711360655321
oct2444602151
9801456810
10345179241
11167932300
1297724609
1356688b94
1433bb4281
15204854e6
hex14930469

345179241 has 27 divisors (see below), whose sum is σ = 549014557. Its totient is φ = 208827960.

The previous prime is 345179221. The next prime is 345179267. The reversal of 345179241 is 142971543.

The square root of 345179241 is 18579.

It is a perfect power (a square), and thus also a powerful number.

345179241 is a `hidden beast` number, since 345 + 1 + 79 + 241 = 666.

It is not a de Polignac number, because 345179241 - 219 = 344654953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345179196 and 345179205.

It is not an unprimeable number, because it can be changed into a prime (345179201) 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 26 ways as a sum of consecutive naturals, for example, 612826 + ... + 613388.

Almost surely, 2345179241 is an apocalyptic number.

345179241 is the 18579-th square number.

345179241 is the 9290-th centered octagonal number.

It is an amenable number.

345179241 is a deficient number, since it is larger than the sum of its proper divisors (203835316).

345179241 is an equidigital number, since it uses as much as digits as its factorization.

345179241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The cubic root of 345179241 is about 701.4793482807.

Multiplying 345179241 by its sum of digits (36), we get a square (12426452676 = 1114742).

The spelling of 345179241 in words is "three hundred forty-five million, one hundred seventy-nine thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 563 1089 1689 5067 6193 18579 55737 68123 204369 316969 613107 950907 2852721 3486659 10459977 31379931 38353249 115059747 345179241