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34441185680 = 24511107365773
BaseRepresentation
bin100000000100110110…
…101100100110010000
310021220021011111210122
4200010312230212100
51031013420420210
623453322045412
72326325151026
oct400466544620
9107807144718
1034441185680
1113674173620
126812349868
13332b518515
14194a204716
15d6899ab55
hex804dac990

34441185680 has 80 divisors (see below), whose sum is σ = 88172017344. Its totient is φ = 12406986240.

The previous prime is 34441185641. The next prime is 34441185689. The reversal of 34441185680 is 8658114443.

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 (44).

It is not an unprimeable number, because it can be changed into a prime (34441185689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88727 + ... + 277046.

Almost surely, 234441185680 is an apocalyptic number.

It is an amenable number.

34441185680 is an abundant number, since it is smaller than the sum of its proper divisors (53730831664).

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

34441185680 is a wasteful number, since it uses less digits than its factorization.

34441185680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365904 (or 365898 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 34441185680 in words is "thirty-four billion, four hundred forty-one million, one hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 176 214 220 428 440 535 856 880 1070 1177 1712 2140 2354 4280 4708 5885 8560 9416 11770 18832 23540 47080 94160 365773 731546 1463092 1828865 2926184 3657730 4023503 5852368 7315460 8047006 14630920 16094012 20117515 29261840 32188024 39137711 40235030 64376048 78275422 80470060 156550844 160940120 195688555 313101688 321880240 391377110 430514821 626203376 782754220 861029642 1565508440 1722059284 2152574105 3131016880 3444118568 4305148210 6888237136 8610296420 17220592840 34441185680