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342354465040 = 2457611347259
BaseRepresentation
bin1001111101101011110…
…10101001000100010000
31012201200021022210002111
410332311322221010100
521102120220340130
6421135300155104
733506601636610
oct4766572510420
91181607283074
10342354465040
11122212196815
1256425998a94
132638c915b43
14127da2b8a40
158d8ac2502a
hex4fb5ea9110

342354465040 has 40 divisors (see below), whose sum is σ = 909684722880. Its totient is φ = 117378673536.

The previous prime is 342354465029. The next prime is 342354465071. The reversal of 342354465040 is 40564453243.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 342354464984 and 342354465002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305673070 + ... + 305674189.

It is an arithmetic number, because the mean of its divisors is an integer number (22742118072).

Almost surely, 2342354465040 is an apocalyptic number.

It is an amenable number.

342354465040 is an abundant number, since it is smaller than the sum of its proper divisors (567330257840).

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

342354465040 is a wasteful number, since it uses less digits than its factorization.

342354465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611347279 (or 611347273 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 342354465040 in words is "three hundred forty-two billion, three hundred fifty-four million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 611347259 1222694518 2445389036 3056736295 4279430813 4890778072 6113472590 8558861626 9781556144 12226945180 17117723252 21397154065 24453890360 34235446504 42794308130 48907780720 68470893008 85588616260 171177232520 342354465040