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2345425040 = 24574188259
BaseRepresentation
bin1000101111001100…
…0101100010010000
320001110022221022002
42023303011202100
514300412100130
61024422333132
7112056532610
oct21363054220
96043287262
102345425040
11aa3a27602
1255558a1a8
132b4bbb08a
141836d4a40
15dad95b45
hex8bcc5890

2345425040 has 40 divisors (see below), whose sum is σ = 6232130880. Its totient is φ = 804145536.

The previous prime is 2345425031. The next prime is 2345425057. The reversal of 2345425040 is 405245432.

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

It is a junction number, because it is equal to n+sod(n) for n = 2345424994 and 2345425012.

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 7 ways as a sum of consecutive naturals, for example, 2093570 + ... + 2094689.

It is an arithmetic number, because the mean of its divisors is an integer number (155803272).

Almost surely, 22345425040 is an apocalyptic number.

2345425040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345425040 is an abundant number, since it is smaller than the sum of its proper divisors (3886705840).

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

2345425040 is a wasteful number, since it uses less digits than its factorization.

2345425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188279 (or 4188273 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 2345425040 is about 48429.5884764676. The cubic root of 2345425040 is about 1328.6395797864.

The spelling of 2345425040 in words is "two billion, three hundred forty-five million, four hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4188259 8376518 16753036 20941295 29317813 33506072 41882590 58635626 67012144 83765180 117271252 146589065 167530360 234542504 293178130 335060720 469085008 586356260 1172712520 2345425040