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3768440 = 235137247
BaseRepresentation
bin1110011000000001111000
321002110022212
432120001320
51431042230
6212434252
744013464
oct16300170
97073285
103768440
112144315
121318988
13a1c360
147014a4
154e6895
hex398078

3768440 has 32 divisors (see below), whose sum is σ = 9132480. Its totient is φ = 1391232.

The previous prime is 3768431. The next prime is 3768473. The reversal of 3768440 is 448673.

It is a happy number.

3768440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37684402 = 28402280067200, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3768397 and 3768406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3104 + ... + 4143.

It is an arithmetic number, because the mean of its divisors is an integer number (285390).

Almost surely, 23768440 is an apocalyptic number.

It is an amenable number.

3768440 is an abundant number, since it is smaller than the sum of its proper divisors (5364040).

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

3768440 is a wasteful number, since it uses less digits than its factorization.

3768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 3768440 is about 1941.2470218908. The cubic root of 3768440 is about 155.6158639927.

The spelling of 3768440 in words is "three million, seven hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7247 14494 28988 36235 57976 72470 94211 144940 188422 289880 376844 471055 753688 942110 1884220 3768440