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3352431424 = 26237132077
BaseRepresentation
bin1100011111010010…
…0000101101000000
322122122012011100211
43013310200231000
523331210301144
61312354123504
7146035124356
oct30764405500
98578164324
103352431424
1114703a6391
12796880594
1341570c344
1423b3477d6
151494ad034
hexc7d20b40

3352431424 has 56 divisors (see below), whose sum is σ = 7039709568. Its totient is φ = 1580705280.

The previous prime is 3352431413. The next prime is 3352431437. The reversal of 3352431424 is 4241342533.

It is a happy number.

It is a super-2 number, since 2×33524314242 = 22477592905245335552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88474 + ... + 120550.

Almost surely, 23352431424 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 3352431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519854784).

3352431424 is an abundant number, since it is smaller than the sum of its proper divisors (3687278144).

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

3352431424 is a wasteful number, since it uses less digits than its factorization.

3352431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32183 (or 32173 counting only the distinct ones).

The product of its digits is 34560, while the sum is 31.

The square root of 3352431424 is about 57900.1850083400. The cubic root of 3352431424 is about 1496.6490268196.

Adding to 3352431424 its reverse (4241342533), we get a palindrome (7593773957).

The spelling of 3352431424 in words is "three billion, three hundred fifty-two million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 142 184 284 368 568 736 1136 1472 1633 2272 3266 4544 6532 13064 26128 32077 52256 64154 104512 128308 256616 513232 737771 1026464 1475542 2052928 2277467 2951084 4554934 5902168 9109868 11804336 18219736 23608672 36439472 47217344 52381741 72878944 104763482 145757888 209526964 419053928 838107856 1676215712 3352431424