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3341321424 = 2432714922247
BaseRepresentation
bin1100011100101000…
…1000010011010000
322121212021201022100
43013022020103100
523320334241144
61311320040400
7145541522610
oct30712102320
98555251270
103341321424
1114650a8271
12793003100
1341331c48c
14239a94a40
15148516269
hexc72884d0

3341321424 has 120 divisors (see below), whose sum is σ = 10759132800. Its totient is φ = 948213504.

The previous prime is 3341321411. The next prime is 3341321429. The reversal of 3341321424 is 4241231433.

3341321424 is a `hidden beast` number, since 33 + 413 + 214 + 2 + 4 = 666.

It is a super-2 number, since 2×33413214242 = 22328857716962775552, which contains 22 as substring.

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 (3341321429) 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, 139069 + ... + 161315.

It is an arithmetic number, because the mean of its divisors is an integer number (89659440).

Almost surely, 23341321424 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 3341321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379566400).

3341321424 is an abundant number, since it is smaller than the sum of its proper divisors (7417811376).

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

3341321424 is a wasteful number, since it uses less digits than its factorization.

3341321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22417 (or 22408 counting only the distinct ones).

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

The square root of 3341321424 is about 57804.1644174535. The cubic root of 3341321424 is about 1494.9938925117.

Adding to 3341321424 its reverse (4241231433), we get a palindrome (7582552857).

The spelling of 3341321424 in words is "three billion, three hundred forty-one million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 149 168 252 298 336 447 504 596 894 1008 1043 1192 1341 1788 2086 2384 2682 3129 3576 4172 5364 6258 7152 8344 9387 10728 12516 16688 18774 21456 22247 25032 37548 44494 50064 66741 75096 88988 133482 150192 155729 177976 200223 266964 311458 355952 400446 467187 533928 622916 800892 934374 1067856 1245832 1401561 1601784 1868748 2491664 2803122 3203568 3314803 3737496 5606244 6629606 7474992 9944409 11212488 13259212 19888818 22424976 23203621 26518424 29833227 39777636 46407242 53036848 59666454 69610863 79555272 92814484 119332908 139221726 159110544 185628968 208832589 238665816 278443452 371257936 417665178 477331632 556886904 835330356 1113773808 1670660712 3341321424