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3680370 = 233543317
BaseRepresentation
bin1110000010100001110010
320220222112000
432002201302
51420232440
6210514430
743165641
oct16024162
96828460
103680370
112094131
121295a16
139bb245
146bb358
154ca730
hex382872

3680370 has 64 divisors (see below), whose sum is σ = 10074240. Its totient is φ = 955584.

The previous prime is 3680363. The next prime is 3680371. The reversal of 3680370 is 730863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 11452 + ... + 11768.

It is an arithmetic number, because the mean of its divisors is an integer number (157410).

Almost surely, 23680370 is an apocalyptic number.

3680370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037120).

3680370 is an abundant number, since it is smaller than the sum of its proper divisors (6393870).

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

3680370 is a wasteful number, since it uses less digits than its factorization.

3680370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3680370 is about 1918.4290448177. The cubic root of 3680370 is about 154.3940266779.

The spelling of 3680370 in words is "three million, six hundred eighty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 317 387 430 634 645 774 951 1161 1290 1585 1902 1935 2322 2853 3170 3870 4755 5706 5805 8559 9510 11610 13631 14265 17118 27262 28530 40893 42795 68155 81786 85590 122679 136310 204465 245358 368037 408930 613395 736074 1226790 1840185 3680370