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16434912 = 2531321013
BaseRepresentation
bin111110101100…
…011011100000
31010220222110110
4332230123200
513201404122
61344131320
7256460124
oct76543340
933828413
1016434912
11930587a
125606b40
133535800
14227b584
15169990c
hexfac6e0

16434912 has 72 divisors (see below), whose sum is σ = 46761624. Its totient is φ = 5051904.

The previous prime is 16434889. The next prime is 16434959. The reversal of 16434912 is 21943461.

It is a self number, because there is not a number n which added to its sum of digits gives 16434912.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 15718 + ... + 16730.

It is an arithmetic number, because the mean of its divisors is an integer number (649467).

Almost surely, 216434912 is an apocalyptic number.

16434912 is a gapful number since it is divisible by the number (12) 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 16434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23380812).

16434912 is an abundant number, since it is smaller than the sum of its proper divisors (30326712).

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

16434912 is a wasteful number, since it uses less digits than its factorization.

16434912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1031 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 16434912 is about 4053.9995066601. Note that the first 3 decimals coincide. The cubic root of 16434912 is about 254.2469749391.

It can be divided in two parts, 1643 and 4912, that added together give a triangular number (6555 = T114).

The spelling of 16434912 in words is "sixteen million, four hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1013 1014 1248 1352 2026 2028 2704 3039 4052 4056 5408 6078 8104 8112 12156 13169 16208 16224 24312 26338 32416 39507 48624 52676 79014 97248 105352 158028 171197 210704 316056 342394 421408 513591 632112 684788 1027182 1264224 1369576 2054364 2739152 4108728 5478304 8217456 16434912