Search a number
-
+
343483114272 = 25311513108557
BaseRepresentation
bin1001111111110010011…
…00000110001100100000
31012211120221002002202220
410333321030012030200
521111423134124042
6421443255111040
733546555204264
oct4777114061440
91184527062686
10343483114272
11122741299681
125669b972480
132650c6b7a1c
14128a61540a4
158e04d698ec
hex4ff9306320

343483114272 has 48 divisors (see below), whose sum is σ = 902426821632. Its totient is φ = 114394860800.

The previous prime is 343483114223. The next prime is 343483114283. The reversal of 343483114272 is 272411384343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1443783 + ... + 1664774.

It is an arithmetic number, because the mean of its divisors is an integer number (18800558784).

Almost surely, 2343483114272 is an apocalyptic number.

343483114272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

343483114272 is an abundant number, since it is smaller than the sum of its proper divisors (558943707360).

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

343483114272 is a wasteful number, since it uses less digits than its factorization.

343483114272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109721 (or 3109713 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The spelling of 343483114272 in words is "three hundred forty-three billion, four hundred eighty-three million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1151 2302 3453 4604 6906 9208 13812 18416 27624 36832 55248 110496 3108557 6217114 9325671 12434228 18651342 24868456 37302684 49736912 74605368 99473824 149210736 298421472 3577949107 7155898214 10733847321 14311796428 21467694642 28623592856 42935389284 57247185712 85870778568 114494371424 171741557136 343483114272