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331412384 = 25107151641
BaseRepresentation
bin10011110000001…
…111001110100000
3212002121111022202
4103300033032200
51134320144014
652515152332
711132646602
oct2360171640
9762544282
10331412384
1116008a036
1292ba56a8
1353878904
143202d172
151e1663de
hex13c0f3a0

331412384 has 48 divisors (see below), whose sum is σ = 663961536. Its totient is φ = 162816000.

The previous prime is 331412363. The next prime is 331412423. The reversal of 331412384 is 483214133.

It is a happy number.

It is an unprimeable number.

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, 516704 + ... + 517344.

It is an arithmetic number, because the mean of its divisors is an integer number (13832532).

Almost surely, 2331412384 is an apocalyptic number.

It is an amenable number.

331412384 is an abundant number, since it is smaller than the sum of its proper divisors (332549152).

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

331412384 is a wasteful number, since it uses less digits than its factorization.

331412384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 331412384 is about 18204.7352081814. The cubic root of 331412384 is about 692.0267957147.

The spelling of 331412384 in words is "three hundred thirty-one million, four hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 107 151 214 302 428 604 641 856 1208 1282 1712 2416 2564 3424 4832 5128 10256 16157 20512 32314 64628 68587 96791 129256 137174 193582 258512 274348 387164 517024 548696 774328 1097392 1548656 2194784 3097312 10356637 20713274 41426548 82853096 165706192 331412384