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419040216 = 2334792381
BaseRepresentation
bin11000111110100…
…000101111011000
31002012111110010000
4120332200233120
51324233241331
6105325253000
713245532410
oct3076405730
91065443100
10419040216
111a55a0131
12b8404160
1368a79bba
143d91d640
1526bc50e6
hex18fa0bd8

419040216 has 80 divisors (see below), whose sum is σ = 1341386640. Its totient is φ = 119724480.

The previous prime is 419040211. The next prime is 419040239. The reversal of 419040216 is 612040914.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 419040216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419040211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41655 + ... + 50726.

It is an arithmetic number, because the mean of its divisors is an integer number (16767333).

Almost surely, 2419040216 is an apocalyptic number.

It is an amenable number.

419040216 is an abundant number, since it is smaller than the sum of its proper divisors (922346424).

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

419040216 is a wasteful number, since it uses less digits than its factorization.

419040216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92406 (or 92393 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 419040216 is about 20470.4718069711. The cubic root of 419040216 is about 748.3163512641.

The spelling of 419040216 in words is "four hundred nineteen million, forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 92381 184762 277143 369524 554286 646667 739048 831429 1108572 1293334 1662858 1940001 2217144 2494287 2586668 3325716 3880002 4988574 5173336 5820003 6651432 7482861 7760004 9977148 11640006 14965722 15520008 17460009 19954296 23280012 29931444 34920018 46560024 52380027 59862888 69840036 104760054 139680072 209520108 419040216