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3827046234 = 2311193782483
BaseRepresentation
bin1110010000011100…
…0001011101011010
3100212201021002111010
43210013001131122
530314210434414
61431430514350
7163560233124
oct34407013532
910781232433
103827046234
1116942a4530
128a98059b6
1348cb46acb
142843b2214
15175eae959
hexe41c175a

3827046234 has 64 divisors (see below), whose sum is σ = 9027048960. Its totient is φ = 1068966720.

The previous prime is 3827046233. The next prime is 3827046241. The reversal of 3827046234 is 4326407283.

It is a super-3 number, since 3×38270462343 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3827046192 and 3827046201.

It is not an unprimeable number, because it can be changed into a prime (3827046233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5157 + ... + 87639.

It is an arithmetic number, because the mean of its divisors is an integer number (141047640).

Almost surely, 23827046234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827046234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513524480).

3827046234 is an abundant number, since it is smaller than the sum of its proper divisors (5200002726).

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

3827046234 is a wasteful number, since it uses less digits than its factorization.

3827046234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82555.

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 3827046234 is about 61863.1249938119. The cubic root of 3827046234 is about 1564.1842297201.

The spelling of 3827046234 in words is "three billion, eight hundred twenty-seven million, forty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2442 4218 7733 15466 23199 46398 82483 164966 247449 494898 907313 1567177 1814626 2721939 3051871 3134354 4701531 5443878 6103742 9155613 9403062 17238947 18311226 33570581 34477894 51716841 57985549 67141162 100711743 103433682 115971098 173956647 201423486 347913294 637841039 1275682078 1913523117 3827046234