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3405924 = 2232372557
BaseRepresentation
bin1100111111100001100100
320102001001100
430333201210
51332442144
6201000100
740643544
oct14774144
96361040
103405924
111a16a15
121183030
13923352
14649324
15474269
hex33f864

3405924 has 36 divisors (see below), whose sum is σ = 8845564. Its totient is φ = 1104192.

The previous prime is 3405907. The next prime is 3405929. The reversal of 3405924 is 4295043.

It can be written as a sum of positive squares in 2 ways, for example, as 2340900 + 1065024 = 1530^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3405929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54 + ... + 2610.

Almost surely, 23405924 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 3405924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422782).

3405924 is an abundant number, since it is smaller than the sum of its proper divisors (5439640).

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

3405924 is a wasteful number, since it uses less digits than its factorization.

3405924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3405924 is about 1845.5145623917. The cubic root of 3405924 is about 150.4567411718.

The spelling of 3405924 in words is "three million, four hundred five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2557 5114 7671 10228 15342 23013 30684 46026 92052 94609 189218 283827 378436 567654 851481 1135308 1702962 3405924