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4434163344 = 2433131276217
BaseRepresentation
bin1000010000100101…
…11111011010010000
3102110000122211121000
410020102333122100
533040121211334
62011555302000
7214611523632
oct41022773220
912400584530
104434163344
111975a73606
12a38baa900
13558864cc0
14300c8ca52
151ae436299
hex1084bf690

4434163344 has 160 divisors (see below), whose sum is σ = 13816893440. Its totient is φ = 1353397248.

The previous prime is 4434163339. The next prime is 4434163351. The reversal of 4434163344 is 4433614344.

It is a super-2 number, since 2×44341633442 = 39323609122546524672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4434163299 and 4434163308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710124 + ... + 716340.

It is an arithmetic number, because the mean of its divisors is an integer number (86355584).

Almost surely, 24434163344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434163344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908446720).

4434163344 is an abundant number, since it is smaller than the sum of its proper divisors (9382730096).

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

4434163344 is a wasteful number, since it uses less digits than its factorization.

4434163344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6362 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 4434163344 is about 66589.5137690613. The cubic root of 4434163344 is about 1642.8726353718.

Adding to 4434163344 its reverse (4433614344), we get a palindrome (8867777688).

The spelling of 4434163344 in words is "four billion, four hundred thirty-four million, one hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 127 144 156 208 216 234 254 312 351 381 432 468 508 624 702 762 936 1016 1143 1404 1524 1651 1872 2032 2286 2808 3048 3302 3429 4572 4953 5616 6096 6217 6604 6858 9144 9906 12434 13208 13716 14859 18288 18651 19812 24868 26416 27432 29718 37302 39624 44577 49736 54864 55953 59436 74604 79248 80821 89154 99472 111906 118872 149208 161642 167859 178308 223812 237744 242463 298416 323284 335718 356616 447624 484926 646568 671436 713232 727389 789559 895248 969852 1293136 1342872 1454778 1579118 1939704 2182167 2368677 2685744 2909556 3158236 3879408 4364334 4737354 5819112 6316472 7106031 8728668 9474708 10264267 11638224 12632944 14212062 17457336 18949416 20528534 21318093 28424124 30792801 34914672 37898832 41057068 42636186 56848248 61585602 82114136 85272372 92378403 113696496 123171204 164228272 170544744 184756806 246342408 277135209 341089488 369513612 492684816 554270418 739027224 1108540836 1478054448 2217081672 4434163344