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4241384 = 237233789
BaseRepresentation
bin10000001011011111101000
321222111002022
4100023133220
52041211014
6230524012
751023360
oct20133750
97874068
104241384
112437684
121506608
13b566c4
147c59a0
1558ba8e
hex40b7e8

4241384 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 1672704.

The previous prime is 4241371. The next prime is 4241399. The reversal of 4241384 is 4831424.

It is a super-3 number, since 3×42413843 (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47612 + ... + 47700.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 24241384 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 4241384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

4241384 is an abundant number, since it is smaller than the sum of its proper divisors (5608216).

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

4241384 is a wasteful number, since it uses less digits than its factorization.

4241384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 4241384 is about 2059.4620656861. The cubic root of 4241384 is about 161.8710552449.

The spelling of 4241384 in words is "four million, two hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 23 28 37 46 56 74 89 92 148 161 178 184 259 296 322 356 518 623 644 712 851 1036 1246 1288 1702 2047 2072 2492 3293 3404 4094 4984 5957 6586 6808 8188 11914 13172 14329 16376 23051 23828 26344 28658 46102 47656 57316 75739 92204 114632 151478 184408 302956 530173 605912 1060346 2120692 4241384