Search a number
-
+
16301934 = 23211281293
BaseRepresentation
bin111110001011…
…111101101110
31010200020001100
4332023331232
513133130214
61341223530
7255364335
oct76137556
933606040
1016301934
119224980
125561ba6
1334ba11c
142244d1c
151670309
hexf8bf6e

16301934 has 48 divisors (see below), whose sum is σ = 38800944. Its totient is φ = 4905600.

The previous prime is 16301933. The next prime is 16301959. The reversal of 16301934 is 43910361.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16301898 and 16301907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16301933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55492 + ... + 55784.

It is an arithmetic number, because the mean of its divisors is an integer number (808353).

Almost surely, 216301934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16301934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19400472).

16301934 is an abundant number, since it is smaller than the sum of its proper divisors (22499010).

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

16301934 is a wasteful number, since it uses less digits than its factorization.

16301934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 16301934 is about 4037.5653555082. The cubic root of 16301934 is about 253.5593969334.

The spelling of 16301934 in words is "sixteen million, three hundred one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 281 293 562 586 843 879 1686 1758 2529 2637 3091 3223 5058 5274 6182 6446 9273 9669 18546 19338 27819 29007 55638 58014 82333 164666 246999 493998 740997 905663 1481994 1811326 2716989 5433978 8150967 16301934