Search a number
-
+
344152424352 = 253112171742791
BaseRepresentation
bin1010000001000010001…
…01010011111110100000
31012220022120111120121010
411000201011103332200
521114311010034402
6422033524500520
733602263224522
oct5004105237640
91186276446533
10344152424352
11122a55087200
1256847b4a740
13265b82700a9
141292adbda12
158e439c8a6c
hex5021153fa0

344152424352 has 144 divisors (see below), whose sum is σ = 1051405500096. Its totient is φ = 98153932800.

The previous prime is 344152424347. The next prime is 344152424359. The reversal of 344152424352 is 253424251443.

It is a self number, because there is not a number n which added to its sum of digits gives 344152424352.

It is not an unprimeable number, because it can be changed into a prime (344152424359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673924 + ... + 1068867.

It is an arithmetic number, because the mean of its divisors is an integer number (7301427084).

Almost surely, 2344152424352 is an apocalyptic number.

344152424352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344152424352 is an abundant number, since it is smaller than the sum of its proper divisors (707253075744).

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

344152424352 is a wasteful number, since it uses less digits than its factorization.

344152424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742843 (or 1742824 counting only the distinct ones).

The product of its digits is 460800, while the sum is 39.

Adding to 344152424352 its reverse (253424251443), we get a palindrome (597576675795).

The spelling of 344152424352 in words is "three hundred forty-four billion, one hundred fifty-two million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 121 132 136 176 187 204 242 264 272 352 363 374 408 484 528 544 561 726 748 816 968 1056 1122 1452 1496 1632 1936 2057 2244 2904 2992 3872 4114 4488 5808 5984 6171 8228 8976 11616 12342 16456 17952 24684 32912 49368 65824 98736 197472 1742791 3485582 5228373 6971164 10456746 13942328 19170701 20913492 27884656 29627447 38341402 41826984 55769312 57512103 59254894 76682804 83653968 88882341 115024206 118509788 153365608 167307936 177764682 210877711 230048412 237019576 306731216 325901917 355529364 421755422 460096824 474039152 613462432 632633133 651803834 711058728 843510844 920193648 948078304 977705751 1265266266 1303607668 1422117456 1687021688 1840387296 1955411502 2530532532 2607215336 2844234912 3374043376 3584921087 3910823004 5061065064 5214430672 6748086752 7169842174 7821646008 10122130128 10428861344 10754763261 14339684348 15643292016 20244260256 21509526522 28679368696 31286584032 43019053044 57358737392 86038106088 114717474784 172076212176 344152424352