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34343002320 = 24351113008713
BaseRepresentation
bin11111111111000000…
…001010000011010000
310021122102102021112220
4133333000022003100
51030313302033240
623435453421040
72324023463124
oct377700120320
9107572367486
1034343002320
1113623802a50
1267a549a780
13331408c863
14193b167584
15d600545d0
hex7ff00a0d0

34343002320 has 80 divisors (see below), whose sum is σ = 116141798592. Its totient is φ = 8325575680.

The previous prime is 34343002283. The next prime is 34343002327. The reversal of 34343002320 is 2320034343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343002327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6501717 + ... + 6506996.

Almost surely, 234343002320 is an apocalyptic number.

34343002320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34343002320 is an abundant number, since it is smaller than the sum of its proper divisors (81798796272).

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

34343002320 is a wasteful number, since it uses less digits than its factorization.

34343002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008740 (or 13008734 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34343002320 its reverse (2320034343), we get a palindrome (36663036663).

The spelling of 34343002320 in words is "thirty-four billion, three hundred forty-three million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 13008713 26017426 39026139 52034852 65043565 78052278 104069704 130087130 143095843 156104556 195130695 208139408 260174260 286191686 312209112 390261390 429287529 520348520 572383372 624418224 715479215 780522780 858575058 1040697040 1144766744 1430958430 1561045560 1717150116 2146437645 2289533488 2861916860 3122091120 3434300232 4292875290 5723833720 6868600464 8585750580 11447667440 17171501160 34343002320