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3344060430 = 2335121710177
BaseRepresentation
bin1100011101010010…
…0101000000001110
322122001102212112000
43013110211000032
523322034413210
61311454453130
7145604021214
oct30724450016
98561385460
103344060430
1114666a9107
12793b041a6
13413a6b0a9
1423a1a8cb4
151488a7ac0
hexc752500e

3344060430 has 64 divisors (see below), whose sum is σ = 8925698880. Its totient is φ = 890929152.

The previous prime is 3344060411. The next prime is 3344060437. The reversal of 3344060430 is 340604433.

It is a super-2 number, since 2×33440604302 = 22365480318983569800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3344060394 and 3344060403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344060437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 323502 + ... + 333678.

It is an arithmetic number, because the mean of its divisors is an integer number (139464045).

Almost surely, 23344060430 is an apocalyptic number.

3344060430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3344060430 is an abundant number, since it is smaller than the sum of its proper divisors (5581638450).

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

3344060430 is a wasteful number, since it uses less digits than its factorization.

3344060430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11410 (or 11404 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3344060430 is about 57827.8516806564. The cubic root of 3344060430 is about 1495.4022817231.

Adding to 3344060430 its reverse (340604433), we get a palindrome (3684664863).

The spelling of 3344060430 in words is "three billion, three hundred forty-four million, sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1217 2434 3651 6085 7302 10177 10953 12170 18255 20354 21906 30531 32859 36510 50885 54765 61062 65718 91593 101770 109530 152655 164295 183186 274779 305310 328590 457965 549558 915930 1373895 2747790 12385409 24770818 37156227 61927045 74312454 111468681 123854090 185781135 222937362 334406043 371562270 557343405 668812086 1114686810 1672030215 3344060430