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3740768 = 25292139
BaseRepresentation
bin1110010001010001100000
321001001100222
432101101200
51424201033
6212102212
743540013
oct16212140
97031328
103740768
112125549
121304968
13a0c895
146d537a
154dd598
hex391460

3740768 has 36 divisors (see below), whose sum is σ = 7682220. Its totient is φ = 1792896.

The previous prime is 3740767. The next prime is 3740773. The reversal of 3740768 is 8670473.

3740768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26843 + ... + 26981.

It is an arithmetic number, because the mean of its divisors is an integer number (213395).

Almost surely, 23740768 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 3740768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841110).

3740768 is an abundant number, since it is smaller than the sum of its proper divisors (3941452).

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

3740768 is a wasteful number, since it uses less digits than its factorization.

3740768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 3740768 is about 1934.1065120618. The cubic root of 3740768 is about 155.2340273284.

The spelling of 3740768 in words is "three million, seven hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 139 232 278 464 556 841 928 1112 1682 2224 3364 4031 4448 6728 8062 13456 16124 26912 32248 64496 116899 128992 233798 467596 935192 1870384 3740768