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4063400320 = 27576114869
BaseRepresentation
bin1111001000110010…
…1001000110000000
3101111012000010100011
43302030221012000
531310212302240
61511112434304
7202460222110
oct36214510600
911435003304
104063400320
1117a5757891
129549a8994
134c9abc2b5
142a7939040
1518baea6ea
hexf2329180

4063400320 has 128 divisors (see below), whose sum is σ = 11284545600. Its totient is φ = 1370234880.

The previous prime is 4063400311. The next prime is 4063400321. The reversal of 4063400320 is 230043604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40634003202 = 33022444321152204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4063400291 and 4063400300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4063400321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265846 + ... + 280714.

Almost surely, 24063400320 is an apocalyptic number.

4063400320 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 4063400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642272800).

4063400320 is an abundant number, since it is smaller than the sum of its proper divisors (7221145280).

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

4063400320 is a wasteful number, since it uses less digits than its factorization.

4063400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14956 (or 14944 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 4063400320 is about 63744.8062198012. The cubic root of 4063400320 is about 1595.7439387525.

Adding to 4063400320 its reverse (230043604), we get a palindrome (4293443924).

The spelling of 4063400320 in words is "four billion, sixty-three million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 128 140 160 224 244 280 305 320 427 448 488 560 610 640 854 896 976 1120 1220 1708 1952 2135 2240 2440 3416 3904 4270 4480 4880 6832 7808 8540 9760 13664 14869 17080 19520 27328 29738 34160 39040 54656 59476 68320 74345 104083 118952 136640 148690 208166 237904 273280 297380 416332 475808 520415 594760 832664 907009 951616 1040830 1189520 1665328 1814018 1903232 2081660 2379040 3330656 3628036 4163320 4535045 4758080 6349063 6661312 7256072 8326640 9070090 9516160 12698126 13322624 14512144 16653280 18140180 25396252 29024288 31745315 33306560 36280360 50792504 58048576 63490630 66613120 72560720 101585008 116097152 126981260 145121440 203170016 253962520 290242880 406340032 507925040 580485760 812680064 1015850080 2031700160 4063400320