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4354263040 = 21151725013
BaseRepresentation
bin1000000111000100…
…01100100000000000
3102020110022110222111
410003202030200000
532404142404130
62000022545104
7212621424301
oct40342144000
912213273874
104354263040
1119349602a6
12a16298194
1354513b10a
142d44107a8
151a740202a
hex10388c800

4354263040 has 96 divisors (see below), whose sum is σ = 11062691640. Its totient is φ = 1639186432.

The previous prime is 4354263037. The next prime is 4354263073. The reversal of 4354263040 is 403624534.

It can be written as a sum of positive squares in 4 ways, for example, as 4349666304 + 4596736 = 65952^2 + 2144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4354262993 and 4354263011.

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, 161574 + ... + 186586.

Almost surely, 24354263040 is an apocalyptic number.

4354263040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4354263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531345820).

4354263040 is an abundant number, since it is smaller than the sum of its proper divisors (6708428600).

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

4354263040 is a wasteful number, since it uses less digits than its factorization.

4354263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25057 (or 25037 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 4354263040 is about 65986.8399000892. The cubic root of 4354263040 is about 1632.9449864824.

Adding to 4354263040 its reverse (403624534), we get a palindrome (4757887574).

The spelling of 4354263040 in words is "four billion, three hundred fifty-four million, two hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4352 5120 5440 8704 10240 10880 17408 21760 25013 34816 43520 50026 87040 100052 125065 174080 200104 250130 400208 425221 500260 800416 850442 1000520 1600832 1700884 2001040 2126105 3201664 3401768 4002080 4252210 6403328 6803536 8004160 8504420 12806656 13607072 16008320 17008840 25613312 27214144 32016640 34017680 51226624 54428288 64033280 68035360 108856576 128066560 136070720 217713152 256133120 272141440 435426304 544282880 870852608 1088565760 2177131520 4354263040