Search a number
-
+
3454322157 = 32112131731463
BaseRepresentation
bin1100110111100100…
…1100010111101101
322220201220202011200
43031321030113231
524033301302112
61330434040113
7151413153036
oct31571142755
98821822150
103454322157
111512969400
12804a19039
13430865610
1424aaaba8d
151533d7cdc
hexcde4c5ed

3454322157 has 144 divisors (see below), whose sum is σ = 6469392384. Its totient is φ = 1756339200.

The previous prime is 3454322143. The next prime is 3454322159. The reversal of 3454322157 is 7512234543.

3454322157 is a `hidden beast` number, since 3 + 4 + 5 + 432 + 215 + 7 = 666.

It is not a de Polignac number, because 3454322157 - 24 = 3454322141 is a prime.

It is a super-2 number, since 2×34543221572 = 23864683128682265298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454322159) 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 143 ways as a sum of consecutive naturals, for example, 7460508 + ... + 7460970.

It is an arithmetic number, because the mean of its divisors is an integer number (44926336).

Almost surely, 23454322157 is an apocalyptic number.

It is an amenable number.

3454322157 is a deficient number, since it is larger than the sum of its proper divisors (3015070227).

3454322157 is a wasteful number, since it uses less digits than its factorization.

3454322157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 3454322157 is about 58773.4817498504. The cubic root of 3454322157 is about 1511.6605501626.

The spelling of 3454322157 in words is "three billion, four hundred fifty-four million, three hundred twenty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 13 17 31 33 39 51 93 99 117 121 143 153 187 221 279 341 363 403 429 463 527 561 663 1023 1089 1209 1287 1389 1573 1581 1683 1989 2057 2431 3069 3627 3751 4167 4433 4719 4743 5093 5797 6019 6171 6851 7293 7871 11253 13299 14157 14353 15279 17391 18057 18513 20553 21879 23613 26741 33759 39897 43059 45837 48763 52173 54171 56023 61659 63767 66209 70839 75361 80223 86581 102323 129177 146289 157883 168069 186589 191301 198627 226083 240669 244001 259743 306969 438867 473649 504207 559767 573903 595881 678249 728299 732003 779229 828971 920907 952391 1125553 1420947 1679301 1736713 2052479 2184897 2196009 2486913 2684011 2857173 3172013 3376659 5210139 6157437 6554691 7460739 8052033 8571519 9516039 10129977 12381083 15630417 18472311 22577269 24156099 28548117 29524121 34892143 37143249 67731807 88572363 104676429 111429747 203195421 265717089 314029287 383813573 1151440719 3454322157