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331141304 = 23132232463
BaseRepresentation
bin10011101111001…
…101000010111000
3212002002201110202
4103233031002320
51134233010204
652505301332
711130440354
oct2357150270
9762081422
10331141304
1115aa143aa
1292a94848
13537b2400
1431d9c464
151e110e1e
hex13bcd0b8

331141304 has 72 divisors (see below), whose sum is σ = 704345040. Its totient is φ = 145873728.

The previous prime is 331141301. The next prime is 331141309. The reversal of 331141304 is 403141133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331141301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 714977 + ... + 715439.

It is an arithmetic number, because the mean of its divisors is an integer number (9782570).

Almost surely, 2331141304 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 331141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352172520).

331141304 is an abundant number, since it is smaller than the sum of its proper divisors (373203736).

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

331141304 is a wasteful number, since it uses less digits than its factorization.

331141304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 331141304 is about 18197.2883694247. The cubic root of 331141304 is about 691.8380622777.

Adding to 331141304 its reverse (403141133), we get a palindrome (734282437).

The spelling of 331141304 in words is "three hundred thirty-one million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 169 184 299 338 463 529 598 676 926 1058 1196 1352 1852 2116 2392 3704 3887 4232 6019 6877 7774 10649 12038 13754 15548 21298 24076 27508 31096 42596 48152 55016 78247 85192 89401 138437 156494 178802 244927 276874 312988 357604 489854 553748 625976 715208 979708 1107496 1799681 1959416 3184051 3599362 6368102 7198724 12736204 14397448 25472408 41392663 82785326 165570652 331141304