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34343623920 = 2435236221671
BaseRepresentation
bin11111111111000010…
…100001110011110000
310021122110120212020010
4133333002201303300
51030313431431140
623435515014520
72324031662304
oct377702416360
9107573525203
1034343623920
1113624097a71
1267a573a440
133314249778
14193b289d04
15d60128880
hex7ff0a1cf0

34343623920 has 80 divisors (see below), whose sum is σ = 111094175232. Its totient is φ = 8760111360.

The previous prime is 34343623913. The next prime is 34343623921. The reversal of 34343623920 is 2932634343.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343623921) 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, 3105316 + ... + 3116355.

Almost surely, 234343623920 is an apocalyptic number.

34343623920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34343623920 is an abundant number, since it is smaller than the sum of its proper divisors (76750551312).

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

34343623920 is a wasteful number, since it uses less digits than its factorization.

34343623920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221710 (or 6221704 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 39.

The spelling of 34343623920 in words is "thirty-four billion, three hundred forty-three million, six hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 6221671 12443342 18665013 24886684 31108355 37330026 49773368 62216710 74660052 93325065 99546736 124433420 143098433 149320104 186650130 248866840 286196866 298640208 373300260 429295299 497733680 572393732 715492165 746600520 858590598 1144787464 1430984330 1493201040 1717181196 2146476495 2289574928 2861968660 3434362392 4292952990 5723937320 6868724784 8585905980 11447874640 17171811960 34343623920