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4401134304 = 25378637589
BaseRepresentation
bin1000001100101001…
…11111101011100000
3102100201111210021020
410012110333223200
533003142244204
62004415325440
7214031011230
oct40624775340
912321453236
104401134304
111959364386
12a29b20880
13551a6c3a8
142da731cc0
151ab5aebd9
hex10653fae0

4401134304 has 96 divisors (see below), whose sum is σ = 13220444160. Its totient is φ = 1255844352.

The previous prime is 4401134261. The next prime is 4401134321. The reversal of 4401134304 is 4034311044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 576142 + ... + 583730.

It is an arithmetic number, because the mean of its divisors is an integer number (137712960).

Almost surely, 24401134304 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 4401134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610222080).

4401134304 is an abundant number, since it is smaller than the sum of its proper divisors (8819309856).

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

4401134304 is a wasteful number, since it uses less digits than its factorization.

4401134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4401134304 is about 66341.0453942354. The cubic root of 4401134304 is about 1638.7833411322.

Adding to 4401134304 its reverse (4034311044), we get a palindrome (8435445348).

The spelling of 4401134304 in words is "four billion, four hundred one million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 863 1726 2589 3452 5178 6041 6904 7589 10356 12082 13808 15178 18123 20712 22767 24164 27616 30356 36246 41424 45534 48328 53123 60712 72492 82848 91068 96656 106246 121424 144984 159369 182136 193312 212492 242848 289968 318738 364272 424984 579936 637476 728544 849968 1274952 1699936 2549904 5099808 6549307 13098614 19647921 26197228 39295842 45845149 52394456 78591684 91690298 104788912 137535447 157183368 183380596 209577824 275070894 314366736 366761192 550141788 628733472 733522384 1100283576 1467044768 2200567152 4401134304