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3344123130 = 2351011139767
BaseRepresentation
bin1100011101010011…
…0100010011111010
322122001120001112020
43013110310103322
523322043420010
61311500055310
7145604402055
oct30724642372
98561501466
103344123130
111466741227
12793b34536
13413a907aa
1423a1c3a9c
151488bb470
hexc75344fa

3344123130 has 64 divisors (see below), whose sum is σ = 8177925888. Its totient is φ = 875033600.

The previous prime is 3344123129. The next prime is 3344123131. The reversal of 3344123130 is 313214433.

It is an interprime number because it is at equal distance from previous prime (3344123129) and next prime (3344123131).

It is a super-2 number, since 2×33441231302 = 22366319017201993800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3344123130.

It is not an unprimeable number, because it can be changed into a prime (3344123131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337507 + ... + 347273.

It is an arithmetic number, because the mean of its divisors is an integer number (127780092).

Almost surely, 23344123130 is an apocalyptic number.

3344123130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3344123130 is an abundant number, since it is smaller than the sum of its proper divisors (4833802758).

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

3344123130 is a wasteful number, since it uses less digits than its factorization.

3344123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3344123130 is about 57828.3938044279. The cubic root of 3344123130 is about 1495.4116277601.

Adding to 3344123130 its reverse (313214433), we get a palindrome (3657337563).

The spelling of 3344123130 in words is "three billion, three hundred forty-four million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 101 113 202 226 303 339 505 565 606 678 1010 1130 1515 1695 3030 3390 9767 11413 19534 22826 29301 34239 48835 57065 58602 68478 97670 114130 146505 171195 293010 342390 986467 1103671 1972934 2207342 2959401 3311013 4932335 5518355 5918802 6622026 9864670 11036710 14797005 16555065 29594010 33110130 111470771 222941542 334412313 557353855 668824626 1114707710 1672061565 3344123130