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4434051328 = 2877931321
BaseRepresentation
bin1000010000100101…
…00100000100000000
3102110000110010221021
410020102210010000
533040104120303
62011553035224
7214610546230
oct41022440400
912400403837
104434051328
1119759a7433
12a38b55b14
13558826015
14300c5dcc0
151ae412ebd
hex1084a4100

4434051328 has 72 divisors (see below), whose sum is σ = 10243546880. Its totient is φ = 1876193280.

The previous prime is 4434051263. The next prime is 4434051329. The reversal of 4434051328 is 8231504344.

It is a super-2 number, since 2×44340513282 = 39321622358677127168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4434051293 and 4434051302.

It is not an unprimeable number, because it can be changed into a prime (4434051329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125908 + ... + 157228.

Almost surely, 24434051328 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 4434051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121773440).

4434051328 is an abundant number, since it is smaller than the sum of its proper divisors (5809495552).

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

4434051328 is an equidigital number, since it uses as much as digits as its factorization.

4434051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31423 (or 31409 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 4434051328 is about 66588.6726703574. The cubic root of 4434051328 is about 1642.8588011520.

The spelling of 4434051328 in words is "four billion, four hundred thirty-four million, fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 256 316 448 553 632 896 1106 1264 1792 2212 2528 4424 5056 8848 10112 17696 20224 31321 35392 62642 70784 125284 141568 219247 250568 438494 501136 876988 1002272 1753976 2004544 2474359 3507952 4009088 4948718 7015904 8018176 9897436 14031808 17320513 19794872 28063616 34641026 39589744 56127232 69282052 79179488 138564104 158358976 277128208 316717952 554256416 633435904 1108512832 2217025664 4434051328