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3745408 = 27291009
BaseRepresentation
bin1110010010011010000000
321001021201211
432102122000
51424323113
6212135504
743556362
oct16223200
97037654
103745408
112128a87
121307594
13a11a24
146d6d32
154deb3d
hex392680

3745408 has 32 divisors (see below), whose sum is σ = 7726500. Its totient is φ = 1806336.

The previous prime is 3745397. The next prime is 3745439. The reversal of 3745408 is 8045473.

It can be written as a sum of positive squares in 2 ways, for example, as 3717184 + 28224 = 1928^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3745408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3208 + ... + 4216.

Almost surely, 23745408 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 3745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863250).

3745408 is an abundant number, since it is smaller than the sum of its proper divisors (3981092).

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

3745408 is a wasteful number, since it uses less digits than its factorization.

3745408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 3745408 is about 1935.3056606128. The cubic root of 3745408 is about 155.2981842324.

The spelling of 3745408 in words is "three million, seven hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1009 1856 2018 3712 4036 8072 16144 29261 32288 58522 64576 117044 129152 234088 468176 936352 1872704 3745408