Search a number
-
+
345749343048 = 2334230992
BaseRepresentation
bin1010000100000000100…
…01000100101101001000
31020001102212101110020000
411002000101010231020
521131043312434143
6422500212203000
733656663632254
oct5020021045510
91201385343200
10345749343048
111236a454391a
1257012909460
13267b10674b5
1412a3d111264
158ed8cb9bd3
hex5080444b48

345749343048 has 60 divisors (see below), whose sum is σ = 968460225315. Its totient is φ = 115244791632.

The previous prime is 345749343019. The next prime is 345749343061. The reversal of 345749343048 is 840343947543.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

345749343048 is a `hidden beast` number, since 3 + 4 + 574 + 9 + 34 + 30 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172874671524 + 172874671524 = 415782^2 + 415782^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=415782.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 345749342985 and 345749343003.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 14956603 + ... + 14979701.

Almost surely, 2345749343048 is an apocalyptic number.

It is an amenable number.

345749343048 is an abundant number, since it is smaller than the sum of its proper divisors (622710882267).

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

345749343048 is an frugal number, since it uses more digits than its factorization.

345749343048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216 (or 23104 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 345749343048 in words is "three hundred forty-five billion, seven hundred forty-nine million, three hundred forty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 23099 46198 69297 92396 138594 184792 207891 277188 415782 554376 623673 831564 1247346 1663128 1871019 2494692 3742038 4989384 7484076 14968152 533563801 1067127602 1600691403 2134255204 3201382806 4268510408 4802074209 6402765612 9604148418 12805531224 14406222627 19208296836 28812445254 38416593672 43218667881 57624890508 86437335762 115249781016 172874671524 345749343048