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331001344 = 29837789
BaseRepresentation
bin10011101110101…
…010111000000000
3212001211121111001
4103232222320000
51134214020334
652502301344
711126315332
oct2356527000
9761747431
10331001344
1115a929233
1292a27854
13537637ab
1431d63452
151e0d4714
hex13baae00

331001344 has 40 divisors (see below), whose sum is σ = 669410280. Its totient is φ = 163485696.

The previous prime is 331001327. The next prime is 331001347. The reversal of 331001344 is 443100133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331001347) 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 3 ways as a sum of consecutive naturals, for example, 38602 + ... + 46390.

It is an arithmetic number, because the mean of its divisors is an integer number (16735257).

Almost surely, 2331001344 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 331001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334705140).

331001344 is an abundant number, since it is smaller than the sum of its proper divisors (338408936).

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

331001344 is an frugal number, since it uses more digits than its factorization.

331001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 331001344 is about 18193.4423350833. The cubic root of 331001344 is about 691.7405779115.

Adding to 331001344 its reverse (443100133), we get a palindrome (774101477).

The spelling of 331001344 in words is "three hundred thirty-one million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1328 2656 5312 7789 10624 15578 21248 31156 42496 62312 124624 249248 498496 646487 996992 1292974 1993984 2585948 3987968 5171896 10343792 20687584 41375168 82750336 165500672 331001344