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331004032 = 272585969
BaseRepresentation
bin10011101110101…
…011100010000000
3212001211202011121
4103232223202000
51134214112112
652502322024
711126326222
oct2356534200
9761752147
10331004032
1115a930257
1292a29314
1353764a98
1431d64412
151e0d5407
hex13bab880

331004032 has 16 divisors (see below), whose sum is σ = 659422350. Its totient is φ = 165501952.

The previous prime is 331003969. The next prime is 331004039. The reversal of 331004032 is 230400133.

It can be written as a sum of positive squares in only one way, i.e., 256768576 + 74235456 = 16024^2 + 8616^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 331003997 and 331004015.

It is not an unprimeable number, because it can be changed into a prime (331004039) 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 as a sum of consecutive naturals, namely, 1292857 + ... + 1293112.

Almost surely, 2331004032 is an apocalyptic number.

331004032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331004032 is a deficient number, since it is larger than the sum of its proper divisors (328418318).

331004032 is an equidigital number, since it uses as much as digits as its factorization.

331004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585983 (or 2585971 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 331004032 is about 18193.5162077043. The cubic root of 331004032 is about 691.7424504050.

Adding to 331004032 its reverse (230400133), we get a palindrome (561404165).

The spelling of 331004032 in words is "three hundred thirty-one million, four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 2585969 5171938 10343876 20687752 41375504 82751008 165502016 331004032