Search a number
-
+
3323904 = 2113541
BaseRepresentation
bin1100101011100000000000
320020212112120
430223200000
51322331104
6155124240
740152453
oct14534000
96225476
103323904
111970331
121143680
138c4c0c
1462749a
15459cd9
hex32b800

3323904 has 48 divisors (see below), whose sum is σ = 8877960. Its totient is φ = 1105920.

The previous prime is 3323869. The next prime is 3323921. The reversal of 3323904 is 4093233.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33239042 = 22096675602432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 34 + 313 + 217 + 313 + 9 + 0 + 46 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5874 + ... + 6414.

Almost surely, 23323904 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 3323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438980).

3323904 is an abundant number, since it is smaller than the sum of its proper divisors (5554056).

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

3323904 is an equidigital number, since it uses as much as digits as its factorization.

3323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3323904 is about 1823.1577002552. The cubic root of 3323904 is about 149.2391696616.

The spelling of 3323904 in words is "three million, three hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 541 768 1024 1082 1536 1623 2048 2164 3072 3246 4328 6144 6492 8656 12984 17312 25968 34624 51936 69248 103872 138496 207744 276992 415488 553984 830976 1107968 1661952 3323904