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3745644 = 2237174361
BaseRepresentation
bin1110010010011101101100
321001022001120
432102131230
51424330034
6212140540
743560150
oct16223554
97038046
103745644
112129181
121307750
13a11b76
146d7060
154dec49
hex39276c

3745644 has 96 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 967680.

The previous prime is 3745631. The next prime is 3745649. The reversal of 3745644 is 4465473.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61374 + ... + 61434.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 23745644 is an apocalyptic number.

3745644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

3745644 is an abundant number, since it is smaller than the sum of its proper divisors (7253652).

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

3745644 is a wasteful number, since it uses less digits than its factorization.

3745644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 3745644 is about 1935.3666319331. The cubic root of 3745644 is about 155.3014459689.

The spelling of 3745644 in words is "three million, seven hundred forty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 61 68 84 86 102 119 122 129 172 183 204 238 244 258 301 357 366 427 476 516 602 714 731 732 854 903 1037 1204 1281 1428 1462 1708 1806 2074 2193 2562 2623 2924 3111 3612 4148 4386 5117 5124 5246 6222 7259 7869 8772 10234 10492 12444 14518 15351 15738 18361 20468 21777 29036 30702 31476 36722 43554 44591 55083 61404 73444 87108 89182 110166 133773 178364 220332 267546 312137 535092 624274 936411 1248548 1872822 3745644