Search a number
-
+
2345538240 = 26325814423
BaseRepresentation
bin1000101111001110…
…0001001011000000
320001110112200120200
42023303201023000
514300424210430
61024425005200
7112060513623
oct21363411300
96043480520
102345538240
11aa3aa4661
12555623800
132b4c2a766
14183723dba
15dadb9460
hex8bce12c0

2345538240 has 84 divisors (see below), whose sum is σ = 8067684144. Its totient is φ = 625476096.

The previous prime is 2345538199. The next prime is 2345538259. The reversal of 2345538240 is 428355432.

2345538240 is a `hidden beast` number, since 23 + 4 + 553 + 82 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2345538195 and 2345538204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404332 + ... + 410091.

Almost surely, 22345538240 is an apocalyptic number.

2345538240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345538240 is an abundant number, since it is smaller than the sum of its proper divisors (5722145904).

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

2345538240 is a wasteful number, since it uses less digits than its factorization.

2345538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814446 (or 814433 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2345538240 is about 48430.7571693857. The cubic root of 2345538240 is about 1328.6609546727.

The spelling of 2345538240 in words is "two billion, three hundred forty-five million, five hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 814423 1628846 2443269 3257692 4072115 4886538 6515384 7329807 8144230 9773076 12216345 13030768 14659614 16288460 19546152 24432690 26061536 29319228 32576920 36649035 39092304 48865380 52123072 58638456 65153840 73298070 78184608 97730760 117276912 130307680 146596140 156369216 195461520 234553824 260615360 293192280 390923040 469107648 586384560 781846080 1172769120 2345538240