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34375868820 = 22325792417431
BaseRepresentation
bin100000000000111101…
…100010000110010100
310021201201021001220200
4200000331202012110
51030400210300240
623443030100500
72324603030616
oct400075420624
9107651231820
1034375868820
1113640311047
1267b44aa730
13331ab294a7
141941680db6
15d62d97930
hex800f62194

34375868820 has 72 divisors (see below), whose sum is σ = 105593429760. Its totient is φ = 9050857920.

The previous prime is 34375868819. The next prime is 34375868867. The reversal of 34375868820 is 2886857343.

34375868820 is a `hidden beast` number, since 3 + 4 + 37 + 586 + 8 + 8 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194496 + ... + 1222935.

Almost surely, 234375868820 is an apocalyptic number.

34375868820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34375868820 is an abundant number, since it is smaller than the sum of its proper divisors (71217560940).

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

34375868820 is a wasteful number, since it uses less digits than its factorization.

34375868820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417525 (or 2417520 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 34375868820 in words is "thirty-four billion, three hundred seventy-five million, eight hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 14220 2417431 4834862 7252293 9669724 12087155 14504586 21756879 24174310 29009172 36261465 43513758 48348620 72522930 87027516 108784395 145045860 190977049 217568790 381954098 435137580 572931147 763908196 954885245 1145862294 1718793441 1909770490 2291724588 2864655735 3437586882 3819540980 5729311470 6875173764 8593967205 11458622940 17187934410 34375868820