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16429344 = 2531710067
BaseRepresentation
bin111110101011…
…000100100000
31010220200211020
4332223010200
513201214334
61344045440
7256434651
oct76530440
933820736
1016429344
119301678
125603880
133533109
142279528
151697e49
hexfab120

16429344 has 48 divisors (see below), whose sum is σ = 45668448. Its totient is φ = 5153792.

The previous prime is 16429333. The next prime is 16429363. The reversal of 16429344 is 44392461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×164293443 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3402 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (951426).

Almost surely, 216429344 is an apocalyptic number.

It is an amenable number.

16429344 is an abundant number, since it is smaller than the sum of its proper divisors (29239104).

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

16429344 is a wasteful number, since it uses less digits than its factorization.

16429344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097 (or 10089 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 16429344 is about 4053.3127192458. The cubic root of 16429344 is about 254.2182595018.

The spelling of 16429344 in words is "sixteen million, four hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 10067 20134 30201 40268 60402 80536 120804 161072 171139 241608 322144 342278 483216 513417 684556 966432 1026834 1369112 2053668 2738224 4107336 5476448 8214672 16429344