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331132004 = 22729717417
BaseRepresentation
bin10011101111001…
…010110001100100
3212002002020201022
4103233022301210
51134232211004
652505150312
711130401300
oct2357126144
9762066638
10331132004
1115aa08415
1292a8b398
13537ab0c8
1431d98d00
151e10d2be
hex13bcac64

331132004 has 36 divisors (see below), whose sum is σ = 681078636. Its totient is φ = 140442624.

The previous prime is 331131953. The next prime is 331132033. The reversal of 331132004 is 400231133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 243672100 + 87459904 = 15610^2 + 9352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10304 + ... + 27720.

It is an arithmetic number, because the mean of its divisors is an integer number (18918851).

Almost surely, 2331132004 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 331132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340539318).

331132004 is an abundant number, since it is smaller than the sum of its proper divisors (349946632).

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

331132004 is a wasteful number, since it uses less digits than its factorization.

331132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17532 (or 17523 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 331132004 is about 18197.0328350531. The cubic root of 331132004 is about 691.8315855318.

Adding to 331132004 its reverse (400231133), we get a palindrome (731363137).

The spelling of 331132004 in words is "three hundred thirty-one million, one hundred thirty-two thousand, four".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2716 4753 9506 17417 19012 34834 69668 121919 243838 487676 853433 1689449 1706866 3378898 3413732 6757796 11826143 23652286 47304572 82783001 165566002 331132004