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3844445328 = 243427710709
BaseRepresentation
bin1110010100100101…
…1001010010010000
3100220221000001120000
43211021121102100
530333134222303
61433251450000
7164161150263
oct34511312220
910827001500
103844445328
1116a30a8749
128b35b6900
13493629429
14286820cda
15177799da3
hexe5259490

3844445328 has 100 divisors (see below), whose sum is σ = 11168152380. Its totient is φ = 1276736256.

The previous prime is 3844445303. The next prime is 3844445333. The reversal of 3844445328 is 8235444483.

It is a happy number.

3844445328 is a `hidden beast` number, since 38 + 44 + 44 + 532 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2368963584 + 1475481744 = 48672^2 + 38412^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 353638 + ... + 364346.

Almost surely, 23844445328 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 3844445328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584076190).

3844445328 is an abundant number, since it is smaller than the sum of its proper divisors (7323707052).

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

3844445328 is a wasteful number, since it uses less digits than its factorization.

3844445328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11006 (or 10991 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 3844445328 is about 62003.5912508300. The cubic root of 3844445328 is about 1566.5510897888.

The spelling of 3844445328 in words is "three billion, eight hundred forty-four million, four hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 277 324 432 554 648 831 1108 1296 1662 2216 2493 3324 4432 4986 6648 7479 9972 10709 13296 14958 19944 21418 22437 29916 32127 39888 42836 44874 59832 64254 85672 89748 96381 119664 128508 171344 179496 192762 257016 289143 358992 385524 514032 578286 771048 867429 1156572 1542096 1734858 2313144 2966393 3469716 4626288 5932786 6939432 8899179 11865572 13878864 17798358 23731144 26697537 35596716 47462288 53395074 71193432 80092611 106790148 142386864 160185222 213580296 240277833 320370444 427160592 480555666 640740888 961111332 1281481776 1922222664 3844445328