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3334211424 = 25349411367
BaseRepresentation
bin1100011010111100…
…0000011101100000
322121100220111020000
43012233000131200
523312024231144
61310503420000
7145424221005
oct30657003540
98540814200
103334211424
111461091435
12790754600
13411a0018b
14238b638ac
15147aae769
hexc6bc0760

3334211424 has 120 divisors (see below), whose sum is σ = 9823424688. Its totient is φ = 1109410560.

The previous prime is 3334211381. The next prime is 3334211429. The reversal of 3334211424 is 4241124333.

It is a super-2 number, since 2×33342114242 = 22233931639864215552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334211429) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2438389 + ... + 2439755.

Almost surely, 23334211424 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 3334211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911712344).

3334211424 is an abundant number, since it is smaller than the sum of its proper divisors (6489213264).

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

3334211424 is a wasteful number, since it uses less digits than its factorization.

3334211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2313 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3334211424 is about 57742.6309064629. The cubic root of 3334211424 is about 1493.9327399923.

Adding to 3334211424 its reverse (4241124333), we get a palindrome (7575335757).

The spelling of 3334211424 in words is "three billion, three hundred thirty-four million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 941 1296 1367 1882 2592 2734 2823 3764 4101 5468 5646 7528 8202 8469 10936 11292 12303 15056 16404 16938 21872 22584 24606 25407 30112 32808 33876 36909 43744 45168 49212 50814 65616 67752 73818 76221 90336 98424 101628 110727 131232 135504 147636 152442 196848 203256 221454 271008 295272 304884 393696 406512 442908 590544 609768 813024 885816 1181088 1219536 1286347 1771632 2439072 2572694 3543264 3859041 5145388 7718082 10290776 11577123 15436164 20581552 23154246 30872328 34731369 41163104 46308492 61744656 69462738 92616984 104194107 123489312 138925476 185233968 208388214 277850952 370467936 416776428 555701904 833552856 1111403808 1667105712 3334211424