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3423924 = 223372647
BaseRepresentation
bin1101000011111010110100
320102221202000
431003322310
51334031144
6201215300
741050200
oct15037264
96387660
103423924
111a29499
121191530
1392b5ba
14651b00
15479769
hex343eb4

3423924 has 72 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 976752.

The previous prime is 3423913. The next prime is 3423929. The reversal of 3423924 is 4293243.

It is a happy number.

3423924 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

3423924 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423929) 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, 4969 + ... + 5615.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 23423924 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 3423924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3423924 is an abundant number, since it is smaller than the sum of its proper divisors (6918156).

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

3423924 is a wasteful number, since it uses less digits than its factorization.

3423924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3423924 is about 1850.3848248405. The cubic root of 3423924 is about 150.7213257014.

The spelling of 3423924 in words is "three million, four hundred twenty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 647 756 882 1294 1323 1764 1941 2588 2646 3882 4529 5292 5823 7764 9058 11646 13587 17469 18116 23292 27174 31703 34938 40761 54348 63406 69876 81522 95109 122283 126812 163044 190218 244566 285327 380436 489132 570654 855981 1141308 1711962 3423924