Search a number
-
+
4430445684 = 22371719715749
BaseRepresentation
bin1000010000001001…
…10011110001110100
3102102202122221220220
410020010303301310
533033143230214
62011343454340
7214535111160
oct41004636164
912382587826
104430445684
111973964465
12a378b73b0
13557b62ac2
143005a1ca0
151ade4e9a9
hex108133c74

4430445684 has 96 divisors (see below), whose sum is σ = 12573792000. Its totient is φ = 1185257472.

The previous prime is 4430445683. The next prime is 4430445697. The reversal of 4430445684 is 4865440344.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430445683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273442 + ... + 289190.

It is an arithmetic number, because the mean of its divisors is an integer number (130977000).

Almost surely, 24430445684 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 4430445684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286896000).

4430445684 is an abundant number, since it is smaller than the sum of its proper divisors (8143346316).

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

4430445684 is a wasteful number, since it uses less digits than its factorization.

4430445684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15977 (or 15975 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The square root of 4430445684 is about 66561.5931600198. The cubic root of 4430445684 is about 1642.4133717624.

The spelling of 4430445684 in words is "four billion, four hundred thirty million, four hundred forty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 197 204 238 357 394 476 591 714 788 1182 1379 1428 2364 2758 3349 4137 5516 6698 8274 10047 13396 15749 16548 20094 23443 31498 40188 46886 47247 62996 70329 93772 94494 110243 140658 188988 220486 267733 281316 330729 440972 535466 661458 803199 1070932 1322916 1606398 1874131 3102553 3212796 3748262 5622393 6205106 7496524 9307659 11244786 12410212 18615318 21717871 22489572 37230636 43435742 52743401 65153613 86871484 105486802 130307226 158230203 210973604 260614452 316460406 369203807 632920812 738407614 1107611421 1476815228 2215222842 4430445684