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3845342322 = 236191271093
BaseRepresentation
bin1110010100110011…
…0100010001110010
3100220222200122000000
43211030310101302
530333401423242
61433323010430
7164201604363
oct34514642162
910828618000
103845342322
1116a3660668
128b3969a16
134938817b3
142869b5b6a
151778c5a4c
hexe5334472

3845342322 has 112 divisors (see below), whose sum is σ = 9183298560. Its totient is φ = 1203654816.

The previous prime is 3845342311. The next prime is 3845342329. The reversal of 3845342322 is 2232435483.

3845342322 is a `hidden beast` number, since 3 + 84 + 534 + 23 + 22 = 666.

It is a super-3 number, since 3×38453423223 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3845342329) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3517608 + ... + 3518700.

Almost surely, 23845342322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845342322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591649280).

3845342322 is an abundant number, since it is smaller than the sum of its proper divisors (5337956238).

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

3845342322 is a wasteful number, since it uses less digits than its factorization.

3845342322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1244 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3845342322 is about 62010.8242325483. The cubic root of 3845342322 is about 1566.6729173032.

The spelling of 3845342322 in words is "three billion, eight hundred forty-five million, three hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 127 162 171 243 254 342 381 486 513 729 762 1026 1093 1143 1458 1539 2186 2286 2413 3078 3279 3429 4617 4826 6558 6858 7239 9234 9837 10287 13851 14478 19674 20574 20767 21717 27702 29511 30861 41534 43434 59022 61722 62301 65151 88533 92583 124602 130302 138811 177066 185166 186903 195453 265599 277622 373806 390906 416433 531198 560709 586359 796797 832866 1121418 1172718 1249299 1593594 1682127 1759077 2498598 2637409 3364254 3518154 3747897 5046381 5274818 7495794 7912227 10092762 11243691 15139143 15824454 22487382 23736681 30278286 33731073 47473362 67462146 71210043 101193219 142420086 202386438 213630129 427260258 640890387 1281780774 1922671161 3845342322