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3994213392 = 24321319111171
BaseRepresentation
bin1110111000010010…
…1101110000010000
3101022100211001201100
43232010231300100
531140004312032
61500201504400
7200660153001
oct35604556020
911270731640
103994213392
11176a6a1704
129357a2100
134b86768a0
1429c6891a8
151859d097c
hexee12dc10

3994213392 has 120 divisors (see below), whose sum is σ = 12102225408. Its totient is φ = 1222444800.

The previous prime is 3994213387. The next prime is 3994213397. The reversal of 3994213392 is 2933124993.

3994213392 is a `hidden beast` number, since 399 + 42 + 133 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (3994213387) and next prime (3994213397).

It is a super-3 number, since 3×39942133923 (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3994213397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351967 + ... + 363137.

Almost surely, 23994213392 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 3994213392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051112704).

3994213392 is an abundant number, since it is smaller than the sum of its proper divisors (8108012016).

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

3994213392 is a wasteful number, since it uses less digits than its factorization.

3994213392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11389 (or 11380 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 3994213392 is about 63199.7894933203. The cubic root of 3994213392 is about 1586.6352102450.

The spelling of 3994213392 in words is "three billion, nine hundred ninety-four million, two hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 191 208 234 312 382 468 573 624 764 936 1146 1528 1719 1872 2292 2483 3056 3438 4584 4966 6876 7449 9168 9932 11171 13752 14898 19864 22342 22347 27504 29796 33513 39728 44684 44694 59592 67026 89368 89388 100539 119184 134052 145223 178736 178776 201078 268104 290446 357552 402156 435669 536208 580892 804312 871338 1161784 1307007 1608624 1742676 2133661 2323568 2614014 3485352 4267322 5228028 6400983 6970704 8534644 10456056 12801966 17069288 19202949 20912112 25603932 27737593 34138576 38405898 51207864 55475186 76811796 83212779 102415728 110950372 153623592 166425558 221900744 249638337 307247184 332851116 443801488 499276674 665702232 998553348 1331404464 1997106696 3994213392