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2345135124 = 223474158041
BaseRepresentation
bin1000101111000111…
…1110110000010100
320001102210012121110
42023301332300110
514300323310444
61024412215020
7112054214433
oct21361766024
96042705543
102345135124
11aa3849802
1255546a470
132b4b19127
1418365b11a
15dad39cb9
hex8bc7ec14

2345135124 has 24 divisors (see below), whose sum is σ = 5588408448. Its totient is φ = 765079360.

The previous prime is 2345135113. The next prime is 2345135129. The reversal of 2345135124 is 4215315432.

2345135124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2345135091 and 2345135100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345135129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2078457 + ... + 2079584.

It is an arithmetic number, because the mean of its divisors is an integer number (232850352).

Almost surely, 22345135124 is an apocalyptic number.

It is an amenable number.

2345135124 is an abundant number, since it is smaller than the sum of its proper divisors (3243273324).

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

2345135124 is a wasteful number, since it uses less digits than its factorization.

2345135124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158095 (or 4158093 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2345135124 is about 48426.5952137872. The cubic root of 2345135124 is about 1328.5848335268.

The spelling of 2345135124 in words is "two billion, three hundred forty-five million, one hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 4158041 8316082 12474123 16632164 24948246 49896492 195427927 390855854 586283781 781711708 1172567562 2345135124