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16416342 = 23219232087
BaseRepresentation
bin111110100111…
…111001010110
31010220000222200
4332213321112
513200310332
61343505330
7256352025
oct76477126
933800880
1016416342
1192a2928
1255b8246
13352a217
1422748bc
15169417c
hexfa7e56

16416342 has 48 divisors (see below), whose sum is σ = 39087360. Its totient is φ = 4956336.

The previous prime is 16416311. The next prime is 16416343. The reversal of 16416342 is 24361461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16416343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6823 + ... + 8909.

It is an arithmetic number, because the mean of its divisors is an integer number (814320).

Almost surely, 216416342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16416342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543680).

16416342 is an abundant number, since it is smaller than the sum of its proper divisors (22671018).

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

16416342 is a wasteful number, since it uses less digits than its factorization.

16416342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2134 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 16416342 is about 4051.7085285099. The cubic root of 16416342 is about 254.1511799695.

The spelling of 16416342 in words is "sixteen million, four hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2087 2622 3933 4174 6261 7866 12522 18783 37566 39653 48001 79306 96002 118959 144003 237918 288006 356877 432009 713754 864018 912019 1824038 2736057 5472114 8208171 16416342