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3680376 = 2337191153
BaseRepresentation
bin1110000010100001111000
320220222112020
432002201320
51420233001
6210514440
743165650
oct16024170
96828466
103680376
112094137
121295a20
139bb24b
146bb360
154ca736
hex382878

3680376 has 64 divisors (see below), whose sum is σ = 11078400. Its totient is φ = 995328.

The previous prime is 3680371. The next prime is 3680399. The reversal of 3680376 is 6730863.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616 + ... + 3768.

It is an arithmetic number, because the mean of its divisors is an integer number (173100).

Almost surely, 23680376 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 3680376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539200).

3680376 is an abundant number, since it is smaller than the sum of its proper divisors (7398024).

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

3680376 is a wasteful number, since it uses less digits than its factorization.

3680376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3680376 is about 1918.4306085965. The cubic root of 3680376 is about 154.3941105792.

The spelling of 3680376 in words is "three million, six hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1153 1596 2306 3192 3459 4612 6918 8071 9224 13836 16142 21907 24213 27672 32284 43814 48426 64568 65721 87628 96852 131442 153349 175256 193704 262884 306698 460047 525768 613396 920094 1226792 1840188 3680376