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3405424 = 241121759
BaseRepresentation
bin1100111111011001110000
320102000100211
430333121300
51332433144
6200553504
740642231
oct14773160
96360324
103405424
111a16600
121182894
13923059
14649088
15474034
hex33f670

3405424 has 30 divisors (see below), whose sum is σ = 7256480. Its totient is φ = 1547040.

The previous prime is 3405397. The next prime is 3405431. The reversal of 3405424 is 4245043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3405395 and 3405404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1057 + ... + 2815.

Almost surely, 23405424 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 3405424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628240).

3405424 is an abundant number, since it is smaller than the sum of its proper divisors (3851056).

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

3405424 is a wasteful number, since it uses less digits than its factorization.

3405424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 3405424 is about 1845.3790938449. The cubic root of 3405424 is about 150.4493783091.

It can be divided in two parts, 340 and 5424, that multiplied together give a triangular number (1844160 = T1920).

The spelling of 3405424 in words is "three million, four hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1759 1936 3518 7036 14072 19349 28144 38698 77396 154792 212839 309584 425678 851356 1702712 3405424