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345165304640 = 2651382972429
BaseRepresentation
bin1010000010111010111…
…01001001001101000000
31012222221011102020010212
411001131131021031000
521123344304222030
6422322230213252
733636342452342
oct5013535111500
91188834366125
10345165304640
111234248a8152
1256a8b1b4228
132671a069b40
14129c5721292
158ea28a1595
hex505d749340

345165304640 has 56 divisors (see below), whose sum is σ = 885149883240. Its totient is φ = 127445649408.

The previous prime is 345165304619. The next prime is 345165304663. The reversal of 345165304640 is 46403561543.

It can be written as a sum of positive squares in 4 ways, for example, as 73649275456 + 271516029184 = 271384^2 + 521072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41482055 + ... + 41490374.

It is an arithmetic number, because the mean of its divisors is an integer number (15806247915).

Almost surely, 2345165304640 is an apocalyptic number.

It is an amenable number.

345165304640 is an abundant number, since it is smaller than the sum of its proper divisors (539984578600).

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

345165304640 is a wasteful number, since it uses less digits than its factorization.

345165304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82972459 (or 82972449 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 345165304640 in words is "three hundred forty-five billion, one hundred sixty-five million, three hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 82972429 165944858 331889716 414862145 663779432 829724290 1078641577 1327558864 1659448580 2157283154 2655117728 3318897160 4314566308 5310235456 5393207885 6637794320 8629132616 10786415770 13275588640 17258265232 21572831540 26551177280 34516530464 43145663080 69033060928 86291326160 172582652320 345165304640