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3342432444 = 22313372272551
BaseRepresentation
bin1100011100111001…
…0111100010111100
322121221101011100020
43013032113202330
523321130314234
61311355532140
7145554131001
oct30716274274
98557334306
103342432444
111465796a6a
1279345a050
1341361b0a0
14239ca38a8
15148685549
hexc73978bc

3342432444 has 96 divisors (see below), whose sum is σ = 8667326976. Its totient is φ = 995846400.

The previous prime is 3342432433. The next prime is 3342432449. The reversal of 3342432444 is 4442342433.

It is a super-2 number, since 2×33424324442 = 22343709285407626272, 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 (3342432449) 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, 1308969 + ... + 1311519.

It is an arithmetic number, because the mean of its divisors is an integer number (90284656).

Almost surely, 23342432444 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 3342432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333663488).

3342432444 is an abundant number, since it is smaller than the sum of its proper divisors (5324894532).

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

3342432444 is a wasteful number, since it uses less digits than its factorization.

3342432444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2833 counting only the distinct ones).

The product of its digits is 110592, while the sum is 33.

The square root of 3342432444 is about 57813.7738259664. The cubic root of 3342432444 is about 1495.1595738736.

Adding to 3342432444 its reverse (4442342433), we get a palindrome (7784774877).

The spelling of 3342432444 in words is "three billion, three hundred forty-two million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 227 444 454 481 681 908 962 1362 1443 1924 2551 2724 2886 2951 5102 5772 5902 7653 8399 8853 10204 11804 15306 16798 17706 25197 30612 33163 33596 35412 50394 66326 94387 99489 100788 109187 132652 188774 198978 218374 283161 327561 377548 397956 436748 566322 579077 655122 1132644 1158154 1227031 1310244 1737231 2316308 2454062 3474462 3681093 4908124 6948924 7362186 7528001 14724372 15056002 21425849 22584003 30112004 42851698 45168006 64277547 85703396 90336012 128555094 257110188 278536037 557072074 835608111 1114144148 1671216222 3342432444