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4434434312 = 2371129376709
BaseRepresentation
bin1000010000101000…
…00001100100001000
3102110001011121021212
410020110001210020
533040203344222
62012005152252
7214614032630
oct41024014410
912401147255
104434434312
111976139150
12a390bb688
1355892b439
14300d1d6c0
151ae48b6e2
hex108501908

4434434312 has 128 divisors (see below), whose sum is σ = 11015136000. Its totient is φ = 1622799360.

The previous prime is 4434434311. The next prime is 4434434327. The reversal of 4434434312 is 2134344344.

It is not an unprimeable number, because it can be changed into a prime (4434434311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657614 + ... + 664322.

It is an arithmetic number, because the mean of its divisors is an integer number (86055750).

Almost surely, 24434434312 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 4434434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507568000).

4434434312 is an abundant number, since it is smaller than the sum of its proper divisors (6580701688).

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

4434434312 is a wasteful number, since it uses less digits than its factorization.

4434434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799 (or 6795 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

The square root of 4434434312 is about 66591.5483526250. The cubic root of 4434434312 is about 1642.9060995460.

Adding to 4434434312 its reverse (2134344344), we get a palindrome (6568778656).

The spelling of 4434434312 in words is "four billion, four hundred thirty-four million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 29 37 44 56 58 74 77 88 116 148 154 203 232 259 296 308 319 406 407 518 616 638 812 814 1036 1073 1276 1624 1628 2072 2146 2233 2552 2849 3256 4292 4466 5698 6709 7511 8584 8932 11396 11803 13418 15022 17864 22792 23606 26836 30044 46963 47212 53672 60088 73799 82621 93926 94424 147598 165242 187852 194561 248233 295196 330484 375704 389122 496466 516593 590392 660968 778244 992932 1033186 1361927 1556488 1737631 1985864 2066372 2140171 2723854 2730563 3475262 4132744 4280342 5447708 5461126 6950524 7198757 8560684 10895416 10922252 13901048 14397514 14981197 17121368 19113941 21844504 28795028 29962394 38227882 50391299 57590056 59924788 76455764 79186327 100782598 119849576 152911528 158372654 201565196 316745308 403130392 554304289 633490616 1108608578 2217217156 4434434312