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345114261 = 32417611229
BaseRepresentation
bin10100100100100…
…000011010010101
3220001101121202200
4110210200122111
51201322124021
654124555113
711360265012
oct2444403225
9801347680
10345114261
111678984a8
12976b2a99
135666542b
1433b98709
1520471126
hex14920695

345114261 has 24 divisors (see below), whose sum is σ = 511743960. Its totient is φ = 223987200.

The previous prime is 345114251. The next prime is 345114299. The reversal of 345114261 is 162411543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2160900 + 342953361 = 1470^2 + 18519^2 .

It is not a de Polignac number, because 345114261 - 26 = 345114197 is a prime.

It is a super-2 number, since 2×3451142612 = 238207706291152242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345114251) 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, 280195 + ... + 281423.

It is an arithmetic number, because the mean of its divisors is an integer number (21322665).

Almost surely, 2345114261 is an apocalyptic number.

It is an amenable number.

345114261 is a deficient number, since it is larger than the sum of its proper divisors (166629699).

345114261 is a wasteful number, since it uses less digits than its factorization.

345114261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2034 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 345114261 is about 18577.2511691046. The cubic root of 345114261 is about 701.4353276839.

The spelling of 345114261 in words is "three hundred forty-five million, one hundred fourteen thousand, two hundred sixty-one".

Divisors: 1 3 9 41 123 369 761 1229 2283 3687 6849 11061 31201 50389 93603 151167 280809 453501 935269 2805807 8417421 38346029 115038087 345114261