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3745434 = 23711367
BaseRepresentation
bin1110010010011010011010
321001021202210
432102122122
51424323214
6212135550
743556430
oct16223232
97037683
103745434
112129000
1213075b6
13a11a44
146d6d50
154deb59
hex39269a

3745434 has 64 divisors (see below), whose sum is σ = 9556992. Its totient is φ = 958320.

The previous prime is 3745397. The next prime is 3745439. The reversal of 3745434 is 4345473.

3745434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 311 + 73 + 42 + 59 + 46 + 313 + 47 .

Its product of digits (20160) is a multiple of the sum of its prime divisors (90).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3745439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55869 + ... + 55935.

It is an arithmetic number, because the mean of its divisors is an integer number (149328).

Almost surely, 23745434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778496).

3745434 is an abundant number, since it is smaller than the sum of its proper divisors (5811558).

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

3745434 is a wasteful number, since it uses less digits than its factorization.

3745434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its digits is 20160, while the sum is 30.

The square root of 3745434 is about 1935.3123778863. The cubic root of 3745434 is about 155.2985435830.

The spelling of 3745434 in words is "three million, seven hundred forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 121 134 154 201 231 242 363 402 462 469 726 737 847 938 1331 1407 1474 1694 2211 2541 2662 2814 3993 4422 5082 5159 7986 8107 9317 10318 15477 16214 18634 24321 27951 30954 48642 55902 56749 89177 113498 170247 178354 267531 340494 535062 624239 1248478 1872717 3745434