Search a number
-
+
349491635369328 = 24371487210575693
BaseRepresentation
bin100111101110111000101110…
…0110001110011010101110000
31200211110001222222100212121110
41033131301130301303111300
5331302032332123304303
63235150124003153320
7133420636346150304
oct11735613461632560
91624401888325543
10349491635369328
11a13a462aa35301
12332459a1675840
1312001bc5a5a50a
1462436b1d57d04
152a6112d366703
hex13ddc5cc73570

349491635369328 has 80 divisors (see below), whose sum is σ = 917449660463616. Its totient is φ = 114620560669440.

The previous prime is 349491635369309. The next prime is 349491635369483. The reversal of 349491635369328 is 823963536194943.

It is a self number, because there is not a number n which added to its sum of digits gives 349491635369328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103628151 + ... + 106947542.

Almost surely, 2349491635369328 is an apocalyptic number.

It is an amenable number.

349491635369328 is an abundant number, since it is smaller than the sum of its proper divisors (567958025094288).

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

349491635369328 is a wasteful number, since it uses less digits than its factorization.

349491635369328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210576262 (or 210576256 counting only the distinct ones).

The product of its digits is 2720977920, while the sum is 75.

The spelling of 349491635369328 in words is "three hundred forty-nine trillion, four hundred ninety-one billion, six hundred thirty-five million, three hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 487 568 852 974 1136 1461 1704 1948 2922 3408 3896 5844 7792 11688 23376 34577 69154 103731 138308 207462 276616 414924 553232 829848 1659696 210575693 421151386 631727079 842302772 1263454158 1684605544 2526908316 3369211088 5053816632 10107633264 14950874203 29901748406 44852622609 59803496812 89705245218 102550362491 119606993624 179410490436 205100724982 239213987248 307651087473 358820980872 410201449964 615302174946 717641961744 820402899928 1230604349892 1640805799856 2461208699784 4922417399568 7281075736861 14562151473722 21843227210583 29124302947444 43686454421166 58248605894888 87372908842332 116497211789776 174745817684664 349491635369328