Search a number
-
+
34458685443 = 3371323473109
BaseRepresentation
bin100000000101111001…
…011101000000000011
310021221111002120222000
4200011321131000003
51031032410413233
623455145115043
72326626664530
oct400571350003
9107844076860
1034458685443
1113683036436
126818188a83
133332034900
14194c67bd87
15d6a2a5d13
hex805e5d003

34458685443 has 96 divisors (see below), whose sum is σ = 63378316800. Its totient is φ = 18117800064.

The previous prime is 34458685439. The next prime is 34458685493.

34458685443 is a `hidden beast` number, since 3 + 4 + 4 + 586 + 8 + 54 + 4 + 3 = 666.

34458685443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34458685443 - 22 = 34458685439 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34458685443.

It is not an unprimeable number, because it can be changed into a prime (34458685433) 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 95 ways as a sum of consecutive naturals, for example, 11081973 + ... + 11085081.

It is an arithmetic number, because the mean of its divisors is an integer number (660190800).

Almost surely, 234458685443 is an apocalyptic number.

34458685443 is a deficient number, since it is larger than the sum of its proper divisors (28919631357).

34458685443 is a wasteful number, since it uses less digits than its factorization.

34458685443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3479 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 34458685443 in words is "thirty-four billion, four hundred fifty-eight million, six hundred eighty-five thousand, four hundred forty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 169 189 273 347 351 507 819 1041 1183 1521 2429 2457 3109 3123 3549 4511 4563 7287 9327 9369 10647 13533 21763 21861 27981 31577 31941 40417 40599 58643 65289 65583 83943 94731 121251 121797 175929 195867 282919 284193 363753 410501 525421 527787 587601 848757 852579 1078823 1091259 1231503 1576263 1583361 2546271 3236469 3677947 3694509 4728789 7551761 7638813 9709407 11033841 11083527 14024699 14186367 22655283 29128221 33101523 42074097 67965849 98172893 99304569 126222291 182321087 203897547 294518679 378666873 546963261 883556037 1276247609 1640889783 2650668111 3828742827 4922669349 11486228481 34458685443