Search a number
-
+
4214376 = 2333109179
BaseRepresentation
bin10000000100111001101000
321221010001000
4100010321220
52034330001
6230155000
750551545
oct20047150
97833030
104214376
112419361
1214b2a60
13b4731a
147b9bcc
15583a86
hex404e68

4214376 has 64 divisors (see below), whose sum is σ = 11880000. Its totient is φ = 1384128.

The previous prime is 4214323. The next prime is 4214377. The reversal of 4214376 is 6734124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4214377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23455 + ... + 23633.

It is an arithmetic number, because the mean of its divisors is an integer number (185625).

Almost surely, 24214376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940000).

4214376 is an abundant number, since it is smaller than the sum of its proper divisors (7665624).

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

4214376 is a wasteful number, since it uses less digits than its factorization.

4214376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4214376 is about 2052.8945418603. The cubic root of 4214376 is about 161.5267394948.

The spelling of 4214376 in words is "four million, two hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 179 216 218 327 358 436 537 654 716 872 981 1074 1308 1432 1611 1962 2148 2616 2943 3222 3924 4296 4833 5886 6444 7848 9666 11772 12888 19332 19511 23544 38664 39022 58533 78044 117066 156088 175599 234132 351198 468264 526797 702396 1053594 1404792 2107188 4214376