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4303223040 = 28356118371
BaseRepresentation
bin1000000000111110…
…11111100100000000
3102002220021101021010
410000133133210000
532303111114130
61551001000520
7211431535524
oct40037374400
912086241233
104303223040
11190906a186
12a01183140
135376aa52c
142cb725d84
151a2bbe0b0
hex1007df900

4303223040 has 144 divisors (see below), whose sum is σ = 13969480896. Its totient is φ = 1128652800.

The previous prime is 4303223033. The next prime is 4303223077. The reversal of 4303223040 is 403223034.

It is a junction number, because it is equal to n+sod(n) for n = 4303222998 and 4303223016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225055 + ... + 243425.

It is an arithmetic number, because the mean of its divisors is an integer number (97010284).

Almost surely, 24303223040 is an apocalyptic number.

4303223040 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 4303223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984740448).

4303223040 is an abundant number, since it is smaller than the sum of its proper divisors (9666257856).

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

4303223040 is a wasteful number, since it uses less digits than its factorization.

4303223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18456 (or 18442 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 4303223040 is about 65598.9560892550. The cubic root of 4303223040 is about 1626.5395164731.

Adding to 4303223040 its reverse (403223034), we get a palindrome (4706446074).

The spelling of 4303223040 in words is "four billion, three hundred three million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 610 640 732 768 915 960 976 1220 1280 1464 1830 1920 1952 2440 2928 3660 3840 3904 4880 5856 7320 7808 9760 11712 14640 15616 18371 19520 23424 29280 36742 39040 46848 55113 58560 73484 78080 91855 110226 117120 146968 183710 220452 234240 275565 293936 367420 440904 551130 587872 734840 881808 1102260 1120631 1175744 1469680 1763616 2204520 2241262 2351488 2939360 3361893 3527232 4409040 4482524 4702976 5603155 5878720 6723786 7054464 8818080 8965048 11206310 11757440 13447572 14108928 16809465 17636160 17930096 22412620 23514880 26895144 33618930 35272320 35860192 44825240 53790288 67237860 70544640 71720384 89650480 107580576 134475720 143440768 179300960 215161152 268951440 286881536 358601920 430322304 537902880 717203840 860644608 1075805760 1434407680 2151611520 4303223040