Search a number
-
+
4148334 = 23429883
BaseRepresentation
bin1111110100110001101110
321210202110000
433310301232
52030221314
6224525130
750155161
oct17646156
97722400
104148334
112383783
1214807a6
13b23248
1479dad8
1556e209
hex3f4c6e

4148334 has 40 divisors (see below), whose sum is σ = 9626760. Its totient is φ = 1333584.

The previous prime is 4148321. The next prime is 4148341. The reversal of 4148334 is 4338414.

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

It is a junction number, because it is equal to n+sod(n) for n = 4148298 and 4148307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4257 + ... + 5139.

It is an arithmetic number, because the mean of its divisors is an integer number (240669).

Almost surely, 24148334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813380).

4148334 is an abundant number, since it is smaller than the sum of its proper divisors (5478426).

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

4148334 is a wasteful number, since it uses less digits than its factorization.

4148334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4148334 is about 2036.7459340821. The cubic root of 4148334 is about 160.6785505310.

The spelling of 4148334 in words is "four million, one hundred forty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 883 1566 1766 2349 2649 4698 5298 7947 15894 23841 25607 47682 51214 71523 76821 143046 153642 230463 460926 691389 1382778 2074167 4148334