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4434101320 = 2351128135863
BaseRepresentation
bin1000010000100101…
…10000010001001000
3102110000112200111211
410020102300101020
533040112220240
62011554102504
7214611145045
oct41022602110
912400480454
104434101320
111975a30a50
12a38b7aa34
135588429bc
14300c741cc
151ae422bea
hex1084b0448

4434101320 has 64 divisors (see below), whose sum is σ = 10922739840. Its totient is φ = 1606617600.

The previous prime is 4434101303. The next prime is 4434101323. The reversal of 4434101320 is 231014344.

It is a super-2 number, since 2×44341013202 = 39322509032051484800, which contains 22 as substring.

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 = 4434101291 and 4434101300.

It is not an unprimeable number, because it can be changed into a prime (4434101323) 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, 105709 + ... + 141571.

It is an arithmetic number, because the mean of its divisors is an integer number (170667810).

Almost surely, 24434101320 is an apocalyptic number.

4434101320 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 4434101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461369920).

4434101320 is an abundant number, since it is smaller than the sum of its proper divisors (6488638520).

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

4434101320 is a wasteful number, since it uses less digits than its factorization.

4434101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36166 (or 36162 counting only the distinct ones).

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

The square root of 4434101320 is about 66589.0480484591. The cubic root of 4434101320 is about 1642.8649753016.

Adding to 4434101320 its reverse (231014344), we get a palindrome (4665115664).

The spelling of 4434101320 in words is "four billion, four hundred thirty-four million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 281 440 562 1124 1405 2248 2810 3091 5620 6182 11240 12364 15455 24728 30910 35863 61820 71726 123640 143452 179315 286904 358630 394493 717260 788986 1434520 1577972 1972465 3155944 3944930 7889860 10077503 15779720 20155006 40310012 50387515 80620024 100775030 110852533 201550060 221705066 403100120 443410132 554262665 886820264 1108525330 2217050660 4434101320