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2348673680 = 245238912289
BaseRepresentation
bin1000101111111101…
…1110101010010000
320001200102222121002
42023333132222100
514302230024210
61025020121132
7112126253063
oct21377365220
96050388532
102348673680
11aa5846331
125566961a8
132b5787952
14183cdc8da
15db2d84a5
hex8bfdea90

2348673680 has 40 divisors (see below), whose sum is σ = 5463396600. Its totient is φ = 938999808.

The previous prime is 2348673661. The next prime is 2348673689. The reversal of 2348673680 is 863768432.

It can be written as a sum of positive squares in 4 ways, for example, as 265298944 + 2083374736 = 16288^2 + 45644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2348673689) 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, 184976 + ... + 197264.

It is an arithmetic number, because the mean of its divisors is an integer number (136584915).

Almost surely, 22348673680 is an apocalyptic number.

2348673680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2348673680 is an abundant number, since it is smaller than the sum of its proper divisors (3114722920).

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

2348673680 is a wasteful number, since it uses less digits than its factorization.

2348673680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691 (or 14685 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The square root of 2348673680 is about 48463.1166971337. The cubic root of 2348673680 is about 1329.2527281249.

The spelling of 2348673680 in words is "two billion, three hundred forty-eight million, six hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2389 4778 9556 11945 12289 19112 23890 24578 38224 47780 49156 61445 95560 98312 122890 191120 196624 245780 491560 983120 29358421 58716842 117433684 146792105 234867368 293584210 469734736 587168420 1174336840 2348673680