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331053344 = 2561181937
BaseRepresentation
bin10011101110110…
…111100100100000
3212001221020210222
4103232313210200
51134222201334
652503342212
711126623046
oct2356674440
9761836728
10331053344
1115a964306
1292a51968
135378136b
1431d78396
151e0e4d2e
hex13bb7920

331053344 has 48 divisors (see below), whose sum is σ = 666816696. Its totient is φ = 161740800.

The previous prime is 331053343. The next prime is 331053361. The reversal of 331053344 is 443350133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21715600 + 309337744 = 4660^2 + 17588^2 .

It is not an unprimeable number, because it can be changed into a prime (331053343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352844 + ... + 353780.

Almost surely, 2331053344 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 331053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333408348).

331053344 is an abundant number, since it is smaller than the sum of its proper divisors (335763352).

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

331053344 is a wasteful number, since it uses less digits than its factorization.

331053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 331053344 is about 18194.8713653051. The cubic root of 331053344 is about 691.7767999463.

The spelling of 331053344 in words is "three hundred thirty-one million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 181 244 362 488 724 937 976 1448 1874 1952 2896 3748 5792 7496 11041 14992 22082 29984 44164 57157 88328 114314 169597 176656 228628 339194 353312 457256 678388 914512 1356776 1829024 2713552 5427104 10345417 20690834 41381668 82763336 165526672 331053344