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4313422320 = 243561729129
BaseRepresentation
bin1000000010001100…
…11001100111110000
3102010121110120001020
410001012121213300
532313214003240
61552003335440
7211614325164
oct40106314760
912117416036
104313422320
1119138a6039
12a04681580
1353983b9cc
142ccc1cca4
151a3a360d0
hex1011999f0

4313422320 has 80 divisors (see below), whose sum is σ = 13393740960. Its totient is φ = 1148342272.

The previous prime is 4313422273. The next prime is 4313422339. The reversal of 4313422320 is 232243134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×43134223202 = 37211224221348364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 133516 + ... + 162644.

It is an arithmetic number, because the mean of its divisors is an integer number (167421762).

Almost surely, 24313422320 is an apocalyptic number.

4313422320 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 4313422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696870480).

4313422320 is an abundant number, since it is smaller than the sum of its proper divisors (9080318640).

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

4313422320 is a wasteful number, since it uses less digits than its factorization.

4313422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29762 (or 29756 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4313422320 is about 65676.6497318491. The cubic root of 4313422320 is about 1627.8235495867.

Adding to 4313422320 its reverse (232243134), we get a palindrome (4545665454).

The spelling of 4313422320 in words is "four billion, three hundred thirteen million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 617 1234 1851 2468 3085 3702 4936 6170 7404 9255 9872 12340 14808 18510 24680 29129 29616 37020 49360 58258 74040 87387 116516 145645 148080 174774 233032 291290 349548 436935 466064 582580 699096 873870 1165160 1398192 1747740 2330320 3495480 6990960 17972593 35945186 53917779 71890372 89862965 107835558 143780744 179725930 215671116 269588895 287561488 359451860 431342232 539177790 718903720 862684464 1078355580 1437807440 2156711160 4313422320