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3730416 = 2432331109
BaseRepresentation
bin1110001110101111110000
321000112011120
432032233300
51423333131
6211542240
743464564
oct16165760
97015146
103730416
112118798
1212ba980
13a07c61
146d16a4
154da496
hex38ebf0

3730416 has 80 divisors (see below), whose sum is σ = 10475520. Its totient is φ = 1140480.

The previous prime is 3730387. The next prime is 3730423. The reversal of 3730416 is 6140373.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34170 + ... + 34278.

It is an arithmetic number, because the mean of its divisors is an integer number (130944).

Almost surely, 23730416 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 3730416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237760).

3730416 is an abundant number, since it is smaller than the sum of its proper divisors (6745104).

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

3730416 is a wasteful number, since it uses less digits than its factorization.

3730416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 3730416 is about 1931.4284868977. The cubic root of 3730416 is about 155.0906996042.

Adding to 3730416 its reverse (6140373), we get a palindrome (9870789).

The spelling of 3730416 in words is "three million, seven hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 109 124 138 184 186 218 248 276 327 368 372 436 496 552 654 713 744 872 1104 1308 1426 1488 1744 2139 2507 2616 2852 3379 4278 5014 5232 5704 6758 7521 8556 10028 10137 11408 13516 15042 17112 20056 20274 27032 30084 34224 40112 40548 54064 60168 77717 81096 120336 155434 162192 233151 310868 466302 621736 932604 1243472 1865208 3730416