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2345255040 = 27352275381
BaseRepresentation
bin1000101111001001…
…1100000010000000
320001110000022002210
42023302130002000
514300341130130
61024414542120
7112055224152
oct21362340200
96043008083
102345255040
11aa3920907
12555507940
132b4b5b89b
1418368cad2
15dad605b0
hex8bc9c080

2345255040 has 128 divisors (see below), whose sum is σ = 7509827520. Its totient is φ = 622530560.

The previous prime is 2345255023. The next prime is 2345255041. The reversal of 2345255040 is 405525432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2345254989 and 2345255007.

It is not an unprimeable number, because it can be changed into a prime (2345255041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 433150 + ... + 438530.

Almost surely, 22345255040 is an apocalyptic number.

2345255040 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 2345255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754913760).

2345255040 is an abundant number, since it is smaller than the sum of its proper divisors (5164572480).

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

2345255040 is a wasteful number, since it uses less digits than its factorization.

2345255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2345255040 is about 48427.8333192803. The cubic root of 2345255040 is about 1328.6074784001.

The spelling of 2345255040 in words is "two billion, three hundred forty-five million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 227 240 320 384 454 480 640 681 908 960 1135 1362 1816 1920 2270 2724 3405 3632 4540 5381 5448 6810 7264 9080 10762 10896 13620 14528 16143 18160 21524 21792 26905 27240 29056 32286 36320 43048 43584 53810 54480 64572 72640 80715 86096 87168 107620 108960 129144 145280 161430 172192 215240 217920 258288 322860 344384 430480 435840 516576 645720 688768 860960 1033152 1221487 1291440 1721920 2066304 2442974 2582880 3443840 3664461 4885948 5165760 6107435 7328922 9771896 10331520 12214870 14657844 18322305 19543792 24429740 29315688 36644610 39087584 48859480 58631376 73289220 78175168 97718960 117262752 146578440 156350336 195437920 234525504 293156880 390875840 469051008 586313760 781751680 1172627520 2345255040