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345315795040 = 2552801770519
BaseRepresentation
bin1010000011001100110…
…11001110000001100000
31020000022122120221011101
411001212123032001200
521124201320420130
6422345203524144
733643150554016
oct5014633160140
91200278527141
10345315795040
111234a1844887
1256b11689654
13267422ab008
14129db6d68b6
158eb0bcb1ca
hex50666ce060

345315795040 has 48 divisors (see below), whose sum is σ = 816100881120. Its totient is φ = 138076825600.

The previous prime is 345315795023. The next prime is 345315795049. The reversal of 345315795040 is 40597513543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345315795049) 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, 62901 + ... + 833419.

It is an arithmetic number, because the mean of its divisors is an integer number (17002101690).

Almost surely, 2345315795040 is an apocalyptic number.

It is an amenable number.

345315795040 is an abundant number, since it is smaller than the sum of its proper divisors (470785086080).

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

345315795040 is a wasteful number, since it uses less digits than its factorization.

345315795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773335 (or 773327 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 345315795040 in words is "three hundred forty-five billion, three hundred fifteen million, seven hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2801 5602 11204 14005 22408 28010 44816 56020 89632 112040 224080 448160 770519 1541038 3082076 3852595 6164152 7705190 12328304 15410380 24656608 30820760 61641520 123283040 2158223719 4316447438 8632894876 10791118595 17265789752 21582237190 34531579504 43164474380 69063159008 86328948760 172657897520 345315795040