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4354253640 = 23325111099559
BaseRepresentation
bin1000000111000100…
…01010001101001000
3102020110022000002100
410003202022031020
532404142104030
62000022433400
7212621355012
oct40342121510
912213260070
104354253640
111934954230
12a16292860
13545136a59
142d440b1b2
151a73ee360
hex10388a348

4354253640 has 96 divisors (see below), whose sum is σ = 15437822400. Its totient is φ = 1055575680.

The previous prime is 4354253611. The next prime is 4354253641. The reversal of 4354253640 is 463524534.

4354253640 is a `hidden beast` number, since 4 + 3 + 5 + 4 + 2 + 5 + 3 + 640 = 666.

It is a super-5 number, since 5×43542536405 (a number of 49 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4354253595 and 4354253604.

It is not an unprimeable number, because it can be changed into a prime (4354253641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545820 + ... + 553739.

It is an arithmetic number, because the mean of its divisors is an integer number (160810650).

Almost surely, 24354253640 is an apocalyptic number.

4354253640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4354253640 is an abundant number, since it is smaller than the sum of its proper divisors (11083568760).

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

4354253640 is a wasteful number, since it uses less digits than its factorization.

4354253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099587 (or 1099580 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 4354253640 is about 65986.7686737273. The cubic root of 4354253640 is about 1632.9438114122.

The spelling of 4354253640 in words is "four billion, three hundred fifty-four million, two hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 1099559 2199118 3298677 4398236 5497795 6597354 8796472 9896031 10995590 12095149 13194708 16493385 19792062 21991180 24190298 26389416 32986770 36285447 39584124 43982360 48380596 49480155 60475745 65973540 72570894 79168248 96761192 98960310 108856341 120951490 131947080 145141788 181427235 197920620 217712682 241902980 290283576 362854470 395841240 435425364 483805960 544281705 725708940 870850728 1088563410 1451417880 2177126820 4354253640