Search a number
-
+
3342924 = 2233132381
BaseRepresentation
bin1100110000001001001100
320021211122000
430300021030
51323433144
6155352300
740262064
oct14601114
96254560
103342924
111983652
121152690
13900780
146303a4
15460769
hex33024c

3342924 has 48 divisors (see below), whose sum is σ = 9337440. Its totient is φ = 1028160.

The previous prime is 3342901. The next prime is 3342943. The reversal of 3342924 is 4292433.

It is a happy number.

It is a super-2 number, since 2×33429242 = 22350281739552, which contains 22 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (194530).

Almost surely, 23342924 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 3342924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668720).

3342924 is an abundant number, since it is smaller than the sum of its proper divisors (5994516).

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

3342924 is a wasteful number, since it uses less digits than its factorization.

3342924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2399 counting only the distinct ones).

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

The square root of 3342924 is about 1828.3664840507. The cubic root of 3342924 is about 149.5232865670.

The spelling of 3342924 in words is "three million, three hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2381 4762 7143 9524 14286 21429 28572 30953 42858 61906 64287 85716 92859 123812 128574 185718 257148 278577 371436 557154 835731 1114308 1671462 3342924