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331704192 = 2734718379
BaseRepresentation
bin10011110001010…
…110011110000000
3212010011022121110
4103301112132000
51134404013232
652525323320
711135303421
oct2361263600
9763138543
10331704192
111602692a6
1293106540
135394b691
14320a7648
151e1c2acc
hex13c56780

331704192 has 64 divisors (see below), whose sum is σ = 899884800. Its totient is φ = 108209664.

The previous prime is 331704181. The next prime is 331704199. The reversal of 331704192 is 291407133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3317041922 = 220055341980745728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331704199) 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 7 ways as a sum of consecutive naturals, for example, 8859 + ... + 27237.

It is an arithmetic number, because the mean of its divisors is an integer number (14060700).

Almost surely, 2331704192 is an apocalyptic number.

331704192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331704192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449942400).

331704192 is an abundant number, since it is smaller than the sum of its proper divisors (568180608).

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

331704192 is a wasteful number, since it uses less digits than its factorization.

331704192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18443 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 331704192 is about 18212.7480628268. The cubic root of 331704192 is about 692.2298455754.

It can be divided in two parts, 3317041 and 92, that added together give a palindrome (3317133).

The spelling of 331704192 in words is "three hundred thirty-one million, seven hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 18379 36758 55137 73516 110274 147032 220548 294064 441096 588128 863813 882192 1176256 1727626 1764384 2352512 2591439 3455252 3528768 5182878 6910504 7057536 10365756 13821008 20731512 27642016 41463024 55284032 82926048 110568064 165852096 331704192