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3730328 = 237292297
BaseRepresentation
bin1110001110101110011000
321000112001022
432032232120
51423332303
6211542012
743464410
oct16165630
97015038
103730328
112118718
1212ba908
13a07bc4
146d1640
154da438
hex38eb98

3730328 has 32 divisors (see below), whose sum is σ = 8272800. Its totient is φ = 1542912.

The previous prime is 3730319. The next prime is 3730339. The reversal of 3730328 is 8230373.

3730328 = 7272 + 7282 + ... + 7332.

It is a junction number, because it is equal to n+sod(n) for n = 3730297 and 3730306.

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, 476 + ... + 2772.

It is an arithmetic number, because the mean of its divisors is an integer number (258525).

Almost surely, 23730328 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 3730328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136400).

3730328 is an abundant number, since it is smaller than the sum of its proper divisors (4542472).

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

3730328 is a wasteful number, since it uses less digits than its factorization.

3730328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3730328 is about 1931.4057056973. The cubic root of 3730328 is about 155.0894800718.

It can be divided in two parts, 37303 and 28, that multiplied together give a square (1044484 = 10222).

The spelling of 3730328 in words is "three million, seven hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 2297 4594 9188 16079 18376 32158 64316 66613 128632 133226 266452 466291 532904 932582 1865164 3730328