Search a number
-
+
34498169394 = 231317193144171
BaseRepresentation
bin100000001000010000…
…000100101000110010
310022001020101120202120
4200020100010220302
51031123012410034
623503115255110
72330616413223
oct401020045062
9108036346676
1034498169394
11136a33542a7
12682944a496
13333a27a5b0
1419539d924a
15d6d9a4c49
hex808404a32

34498169394 has 128 divisors (see below), whose sum is σ = 85488721920. Its totient is φ = 9159091200.

The previous prime is 34498169389. The next prime is 34498169423. The reversal of 34498169394 is 49396189443.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758929 + ... + 803099.

It is an arithmetic number, because the mean of its divisors is an integer number (667880640).

Almost surely, 234498169394 is an apocalyptic number.

34498169394 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34498169394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42744360960).

34498169394 is an abundant number, since it is smaller than the sum of its proper divisors (50990552526).

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

34498169394 is a wasteful number, since it uses less digits than its factorization.

34498169394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44256.

The product of its digits is 20155392, while the sum is 60.

The spelling of 34498169394 in words is "thirty-four billion, four hundred ninety-eight million, one hundred sixty-nine thousand, three hundred ninety-four".

Divisors: 1 2 3 6 13 17 19 26 31 34 38 39 51 57 62 78 93 102 114 186 221 247 323 403 442 494 527 589 646 663 741 806 969 1054 1178 1209 1326 1482 1581 1767 1938 2418 3162 3534 4199 6851 7657 8398 10013 12597 13702 15314 20026 20553 22971 25194 30039 41106 44171 45942 60078 88342 130169 132513 260338 265026 390507 574223 750907 781014 839249 1148446 1369301 1501814 1678498 1722669 2252721 2517747 2738602 3445338 4107903 4505442 5035494 8215806 9761791 10910237 14267233 17800913 19523582 21820474 23278117 26016719 28534466 29285373 32730711 35601826 42801699 46556234 52033438 53402739 58570746 65461422 69834351 78050157 85603398 106805478 139668702 156100314 185474029 302615521 338217347 370948058 442284223 556422087 605231042 676434694 884568446 907846563 1014652041 1112844174 1326852669 1815693126 2029304082 2653705338 5749694899 11499389798 17249084697 34498169394