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4411430320 = 245119075527
BaseRepresentation
bin1000001101111000…
…10001010110110000
3102101102212212202011
410012330101112300
533013311232240
62005424132304
7214214352613
oct40674212660
912342785664
104411430320
111964156990
12a31467094
13553c358cb
142dbc5217a
151ac4456ea
hex106f115b0

4411430320 has 80 divisors (see below), whose sum is σ = 11203354368. Its totient is φ = 1602097920.

The previous prime is 4411430299. The next prime is 4411430321. The reversal of 4411430320 is 230341144.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4411430291 and 4411430300.

It is not an unprimeable number, because it can be changed into a prime (4411430321) 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, 795397 + ... + 800923.

Almost surely, 24411430320 is an apocalyptic number.

4411430320 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 4411430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601677184).

4411430320 is an abundant number, since it is smaller than the sum of its proper divisors (6791924048).

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

4411430320 is a wasteful number, since it uses less digits than its factorization.

4411430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4411430320 is about 66418.5992023319. The cubic root of 4411430320 is about 1640.0602694488.

Adding to 4411430320 its reverse (230341144), we get a palindrome (4641771464).

The spelling of 4411430320 in words is "four billion, four hundred eleven million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 907 1814 3628 4535 5527 7256 9070 9977 11054 14512 18140 19954 22108 27635 36280 39908 44216 49885 55270 60797 72560 79816 88432 99770 110540 121594 159632 199540 221080 243188 303985 399080 442160 486376 607970 798160 972752 1215940 2431880 4863760 5012989 10025978 20051956 25064945 40103912 50129890 55142879 80207824 100259780 110285758 200519560 220571516 275714395 401039120 441143032 551428790 882286064 1102857580 2205715160 4411430320