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2345613140 = 22513233112653
BaseRepresentation
bin1000101111001111…
…0011011101010100
320001110200111022202
42023303303131110
514300434110030
61024430344032
7112061245163
oct21363633524
96043614282
102345613140
11aa4045962
1255565b018
132b4c55890
141837433da
15dadd1745
hex8bcf3754

2345613140 has 96 divisors (see below), whose sum is σ = 5714343936. Its totient is φ = 801630720.

The previous prime is 2345613091. The next prime is 2345613143. The reversal of 2345613140 is 413165432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345613143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179054 + ... + 191706.

It is an arithmetic number, because the mean of its divisors is an integer number (59524416).

Almost surely, 22345613140 is an apocalyptic number.

2345613140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345613140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857171968).

2345613140 is an abundant number, since it is smaller than the sum of its proper divisors (3368730796).

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

2345613140 is a wasteful number, since it uses less digits than its factorization.

2345613140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12729 (or 12727 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2345613140 is about 48431.5304321472. The cubic root of 2345613140 is about 1328.6750972186.

Adding to 2345613140 its reverse (413165432), we get a palindrome (2758778572).

The spelling of 2345613140 in words is "two billion, three hundred forty-five million, six hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 31 46 52 62 65 92 115 124 130 155 230 260 299 310 403 460 598 620 713 806 1196 1426 1495 1612 2015 2852 2990 3565 4030 5980 7130 8060 9269 12653 14260 18538 25306 37076 46345 50612 63265 92690 126530 164489 185380 253060 291019 328978 392243 582038 657956 784486 822445 1164076 1455095 1568972 1644890 1961215 2910190 3289780 3783247 3922430 5099159 5820380 7566494 7844860 9021589 10198318 15132988 18043178 18916235 20396636 25495795 36086356 37832470 45107945 50991590 75664940 90215890 101983180 117280657 180431780 234561314 469122628 586403285 1172806570 2345613140