Search a number
-
+
34324440220301 = 7111973557577007
BaseRepresentation
bin1111100110111110010000…
…00100010000001010001101
311111112101101020220022120212
413303133020010100022031
513444332423144022201
6201000232525052205
710141600424643410
oct763371004201215
9144471336808525
1034324440220301
11aa33a057391a0
123a243816b7065
13161ca1c6170aa
148694516dbb77
153e7ccdddeabb
hex1f37c811028d

34324440220301 has 64 divisors (see below), whose sum is σ = 45745563525120. Its totient is φ = 24946600527360.

The previous prime is 34324440220271. The next prime is 34324440220307. The reversal of 34324440220301 is 10302204442343.

It is a cyclic number.

It is not a de Polignac number, because 34324440220301 - 214 = 34324440203917 is a prime.

It is a super-2 number, since 2×343244402203012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324440220307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59198540 + ... + 59775546.

It is an arithmetic number, because the mean of its divisors is an integer number (714774430080).

Almost surely, 234324440220301 is an apocalyptic number.

It is an amenable number.

34324440220301 is a deficient number, since it is larger than the sum of its proper divisors (11421123304819).

34324440220301 is a wasteful number, since it uses less digits than its factorization.

34324440220301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577674.

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34324440220301 its reverse (10302204442343), we get a palindrome (44626644662644).

The spelling of 34324440220301 in words is "thirty-four trillion, three hundred twenty-four billion, four hundred forty million, two hundred twenty thousand, three hundred one".

Divisors: 1 7 11 19 73 77 133 209 511 557 803 1387 1463 3899 5621 6127 9709 10583 15257 40661 42889 74081 106799 116413 284627 447271 577007 772559 814891 3130897 4039049 5407913 6347077 8498149 10963133 42121511 44429539 59487043 76741931 120594463 294850577 321392899 463336621 800308709 844161241 2249750293 3243356347 3535321889 5602160963 6106465081 8803395799 23461681627 24747253223 42745255567 61623770593 67171115891 164231771389 258078497897 445771950913 470197811237 1806549485279 3120403656391 4903491460043 34324440220301