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34713640640 = 265715497161
BaseRepresentation
bin100000010101000110…
…000001111011000000
310022121020211122202002
4200111012001323000
51032043143000030
623540333443132
72336144035250
oct402506017300
9108536748662
1034713640640
11137a3a44008
1268896404a8
133372ac0883
141974487960
15d82868245
hex815181ec0

34713640640 has 56 divisors (see below), whose sum is σ = 94470699552. Its totient is φ = 11901818880.

The previous prime is 34713640609. The next prime is 34713640649. The reversal of 34713640640 is 4604631743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 34713640594 and 34713640603.

It is not an unprimeable number, because it can be changed into a prime (34713640649) 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, 7746341 + ... + 7750820.

Almost surely, 234713640640 is an apocalyptic number.

It is an amenable number.

34713640640 is an abundant number, since it is smaller than the sum of its proper divisors (59757058912).

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

34713640640 is a wasteful number, since it uses less digits than its factorization.

34713640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15497185 (or 15497175 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 34713640640 in words is "thirty-four billion, seven hundred thirteen million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 15497161 30994322 61988644 77485805 108480127 123977288 154971610 216960254 247954576 309943220 433920508 495909152 542400635 619886440 867841016 991818304 1084801270 1239772880 1735682032 2169602540 2479545760 3471364064 4339205080 4959091520 6942728128 8678410160 17356820320 34713640640