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34067073700 = 22521156355009
BaseRepresentation
bin11111101110100011…
…100100101010100100
310020221012012122122101
4133232203210222210
51024232132324300
623352235341444
72314133230402
oct375643445244
9106835178571
1034067073700
11134a1a7a770
126728bb1884
13329bb6c39a
14191265c472
15d45becb6a
hex7ee8e4aa4

34067073700 has 72 divisors (see below), whose sum is σ = 80790766560. Its totient is φ = 12365798400.

The previous prime is 34067073641. The next prime is 34067073709. The reversal of 34067073700 is 737076043.

It is a self number, because there is not a number n which added to its sum of digits gives 34067073700.

It is not an unprimeable number, because it can be changed into a prime (34067073709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591796 + ... + 646804.

It is an arithmetic number, because the mean of its divisors is an integer number (1122093980).

Almost surely, 234067073700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34067073700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40395383280).

34067073700 is an abundant number, since it is smaller than the sum of its proper divisors (46723692860).

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

34067073700 is a wasteful number, since it uses less digits than its factorization.

34067073700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55597 (or 55590 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 37.

The spelling of 34067073700 in words is "thirty-four billion, sixty-seven million, seventy-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 563 1100 1126 2252 2815 5630 6193 11260 12386 14075 24772 28150 30965 55009 56300 61930 110018 123860 154825 220036 275045 309650 550090 605099 619300 1100180 1210198 1375225 2420396 2750450 3025495 5500900 6050990 12101980 15127475 30254950 30970067 60509900 61940134 123880268 154850335 309700670 340670737 619401340 681341474 774251675 1362682948 1548503350 1703353685 3097006700 3406707370 6813414740 8516768425 17033536850 34067073700