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4434552304 = 2471314920441
BaseRepresentation
bin1000010000101000…
…11110010111110000
3102110001101121010221
410020110132113300
533040221133204
62012011502424
7214615033630
oct41024362760
912401347127
104434552304
111976209866
12a39157a14
13558970060
14300d506c0
151ae4b1654
hex10851e5f0

4434552304 has 80 divisors (see below), whose sum is σ = 10646193600. Its totient is φ = 1742469120.

The previous prime is 4434552299. The next prime is 4434552337. The reversal of 4434552304 is 4032554344.

It is a self number, because there is not a number n which added to its sum of digits gives 4434552304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206724 + ... + 227164.

It is an arithmetic number, because the mean of its divisors is an integer number (133077420).

Almost surely, 24434552304 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 4434552304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323096800).

4434552304 is an abundant number, since it is smaller than the sum of its proper divisors (6211641296).

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

4434552304 is a wasteful number, since it uses less digits than its factorization.

4434552304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20618 (or 20612 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

The square root of 4434552304 is about 66592.4342849847. The cubic root of 4434552304 is about 1642.9206709693.

The spelling of 4434552304 in words is "four billion, four hundred thirty-four million, five hundred fifty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 149 182 208 298 364 596 728 1043 1192 1456 1937 2086 2384 3874 4172 7748 8344 13559 15496 16688 20441 27118 30992 40882 54236 81764 108472 143087 163528 216944 265733 286174 327056 531466 572348 1062932 1144696 1860131 2125864 2289392 3045709 3720262 4251728 6091418 7440524 12182836 14881048 21319963 24365672 29762096 39594217 42639926 48731344 79188434 85279852 158376868 170559704 277159519 316753736 341119408 554319038 633507472 1108638076 2217276152 4434552304