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3844023152 = 2419113317353
BaseRepresentation
bin1110010100011111…
…0010001101110000
3100220220012121102212
43211013302031300
530333032220102
61433234431252
7164154441404
oct34507621560
910826177385
103844023152
1116a293a542
128b3432528
1349350c218
14286751104
15177714c52
hexe51f2370

3844023152 has 80 divisors (see below), whose sum is σ = 7956588960. Its totient is φ = 1793949696.

The previous prime is 3844023121. The next prime is 3844023191. The reversal of 3844023152 is 2513204483.

3844023152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38440231522 = 29553027986224030208, which contains 22 as substring.

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, 10889408 + ... + 10889760.

It is an arithmetic number, because the mean of its divisors is an integer number (99457362).

Almost surely, 23844023152 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 3844023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978294480).

3844023152 is an abundant number, since it is smaller than the sum of its proper divisors (4112565808).

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

3844023152 is a wasteful number, since it uses less digits than its factorization.

3844023152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 3844023152 is about 62000.1867093963. The cubic root of 3844023152 is about 1566.4937443265.

The spelling of 3844023152 in words is "three billion, eight hundred forty-four million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 304 317 353 452 634 706 904 1268 1412 1808 2147 2536 2824 4294 5072 5648 6023 6707 8588 12046 13414 17176 24092 26828 34352 35821 39889 48184 53656 71642 79778 96368 107312 111901 143284 159556 223802 286568 319112 447604 573136 638224 680599 757891 895208 1361198 1515782 1790416 2126119 2722396 3031564 4252238 5444792 6063128 8504476 10889584 12126256 12644813 17008952 25289626 34017904 50579252 101158504 202317008 240251447 480502894 961005788 1922011576 3844023152