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3084448896 = 2734614877
BaseRepresentation
bin1011011111011000…
…1111010010000000
321221221221020110000
42313312033102000
522304104331041
61230022240000
7136302245244
oct26766172200
97857836400
103084448896
111343100121
12720b86000
133a20418b9
1421390a424
15130bc5bb6
hexb7d8f480

3084448896 has 160 divisors (see below), whose sum is σ = 9331662780. Its totient is φ = 1011087360.

The previous prime is 3084448883. The next prime is 3084448909. The reversal of 3084448896 is 6988444803.

3084448896 is a `hidden beast` number, since 30 + 8 + 44 + 488 + 96 = 666.

3084448896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3084448883) and next prime (3084448909).

It can be written as a sum of positive squares in 2 ways, for example, as 2576577600 + 507871296 = 50760^2 + 22536^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 630010 + ... + 634886.

Almost surely, 23084448896 is an apocalyptic number.

3084448896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665831390).

3084448896 is an abundant number, since it is smaller than the sum of its proper divisors (6247213884).

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

3084448896 is an equidigital number, since it uses as much as digits as its factorization.

3084448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 3084448896 is about 55537.8150092349. The cubic root of 3084448896 is about 1455.6574688345.

The spelling of 3084448896 in words is "three billion, eighty-four million, four hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 183 192 216 244 288 324 366 384 432 488 549 576 648 732 864 976 1098 1152 1296 1464 1647 1728 1952 2196 2592 2928 3294 3456 3904 4392 4877 4941 5184 5856 6588 7808 8784 9754 9882 10368 11712 13176 14631 17568 19508 19764 23424 26352 29262 35136 39016 39528 43893 52704 58524 70272 78032 79056 87786 105408 117048 131679 156064 158112 175572 210816 234096 263358 297497 312128 316224 351144 395037 468192 526716 594994 624256 632448 702288 790074 892491 936384 1053432 1189988 1404576 1580148 1784982 1872768 2106864 2379976 2677473 2809152 3160296 3569964 4213728 4759952 5354946 5618304 6320592 7139928 8032419 8427456 9519904 10709892 12641184 14279856 16064838 16854912 19039808 21419784 24097257 25282368 28559712 32129676 38079616 42839568 48194514 50564736 57119424 64259352 85679136 96389028 114238848 128518704 171358272 192778056 257037408 342716544 385556112 514074816 771112224 1028149632 1542224448 3084448896