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4320240320 = 265119712653
BaseRepresentation
bin1000000011000000…
…11010001011000000
3102011002021221120202
410001200122023000
532321440142240
61552405424332
7212026302554
oct40140321300
912132257522
104320240320
111917732550
12a06a0b0a8
1353b088126
142cdab5864
151a4431315
hex10181a2c0

4320240320 has 112 divisors (see below), whose sum is σ = 11339401248. Its totient is φ = 1554677760.

The previous prime is 4320240317. The next prime is 4320240371. The reversal of 4320240320 is 230420234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4320240292 and 4320240301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335114 + ... + 347766.

It is an arithmetic number, because the mean of its divisors is an integer number (101244654).

Almost surely, 24320240320 is an apocalyptic number.

4320240320 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 4320240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669700624).

4320240320 is an abundant number, since it is smaller than the sum of its proper divisors (7019160928).

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

4320240320 is a wasteful number, since it uses less digits than its factorization.

4320240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12778 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4320240320 is about 65728.5350513763. The cubic root of 4320240320 is about 1628.6807698063.

Adding to 4320240320 its reverse (230420234), we get a palindrome (4550660554).

The spelling of 4320240320 in words is "four billion, three hundred twenty million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 97 110 160 176 194 220 320 352 388 440 485 704 776 880 970 1067 1552 1760 1940 2134 3104 3520 3880 4268 5335 6208 7760 8536 10670 12653 15520 17072 21340 25306 31040 34144 42680 50612 63265 68288 85360 101224 126530 139183 170720 202448 253060 278366 341440 404896 506120 556732 695915 809792 1012240 1113464 1227341 1391830 2024480 2226928 2454682 2783660 4048960 4453856 4909364 5567320 6136705 8907712 9818728 11134640 12273410 13500751 19637456 22269280 24546820 27001502 39274912 44538560 49093640 54003004 67503755 78549824 98187280 108006008 135007510 196374560 216012016 270015020 392749120 432024032 540030040 864048064 1080060080 2160120160 4320240320