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4230408 = 2337132149
BaseRepresentation
bin10000001000110100001000
321221221000210
4100020310020
52040333113
6230401120
750646360
oct20106410
97857023
104230408
11242a406
1215001a0
13b51700
147c19a0
155886c3
hex408d08

4230408 has 96 divisors (see below), whose sum is σ = 13176000. Its totient is φ = 1108224.

The previous prime is 4230403. The next prime is 4230419. The reversal of 4230408 is 8040324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4230403) 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, 28318 + ... + 28466.

It is an arithmetic number, because the mean of its divisors is an integer number (137250).

Almost surely, 24230408 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 4230408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588000).

4230408 is an abundant number, since it is smaller than the sum of its proper divisors (8945592).

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

4230408 is a wasteful number, since it uses less digits than its factorization.

4230408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4230408 is about 2056.7955659229. The cubic root of 4230408 is about 161.7313027877.

The spelling of 4230408 in words is "four million, two hundred thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 149 156 168 169 182 273 298 312 338 364 447 507 546 596 676 728 894 1014 1043 1092 1183 1192 1352 1788 1937 2028 2086 2184 2366 3129 3549 3576 3874 4056 4172 4732 5811 6258 7098 7748 8344 9464 11622 12516 13559 14196 15496 23244 25032 25181 27118 28392 40677 46488 50362 54236 75543 81354 100724 108472 151086 162708 176267 201448 302172 325416 352534 528801 604344 705068 1057602 1410136 2115204 4230408